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BÀI TẬP NGUYÊN HÀM DT by muoitt9

VIEWS: 19 PAGES: 5

									                                                                                                                               
 BT NGUYÊN 26.  3 dx                          x
                                                                    52. 
                                                                                dx                                  
                                                                                                    81.  tan x tan  x  dx 4. 2
                                                                          cos x sin 2 x
                                                                              2
                                                                                                                          3     (2 sin x  3cosx  x ) dx
         HÀM        1 3                                   x
                                                                                                                                 
                                                                    53. 
                                                                           dx                                                 3
                                                                                                    82.  cot x tan  x  dx 1
                                                   x
1.  x dx 5
             27. 
                     2
                          dx                                              sin x                                          4  5. (e x  x)dx
     1              4 1                       x
                                                                            dx                                                   
2.  dx                                                             54.                                           dx
                                                                                                    83.  2
                                                                                                                                 0
                    x 1
             28. 
          7
     x                                                                     cos x
                                                                                                          sin x  2cos x  1
                                                                                                                         2       1
                         dx
                    x 1                                                      cos 2 x                                         6.  ( x3  x x )dx
3.  x dx
      5           2
                                                                    55.                   dx       84.  1  sin 2xdx
             29. 
                      dx                                                   cos 2 x sin 2 x                                       0

4. 
       1
          dx       x x 1                              4
                                                                    56.  cos3x sin xdx             85.  cos5 x sin xdx                          2
                                                                                                                                               7.  (x  1)( x  x  1) dx
                  5                                                                                                                              1
       x
                                               x3                   57.  sin 4 x sin xdx                   sin 2 xdx                             
5.  6 dx x                          30.                      dx                                   86.                                          2                   1
                                               x8  1                                                    cos 2 x tan x                         8.  (3 sin x  2cosx  ) dx
      1                                                             58.  cos3x sin 2 xdx                                                                            x
6.  x dx                            31. 
                                                  dx                                                      sin x cos xdx
                                                                                                    87.  6                                       3
      2                                       x  x 1              59.  tan 2 xdx                      sin x  cos6 x                            1

          1                                                                                                                                    9.  (e x  x 2  1)dx
7.             dx                         ( x  1) dx              60.  cot 2 xdx                                     cos x sin xdx
     (2 x  3)5                      32.                                                           88. 
                                                                                                                    22     2   2
                                                                                                                                                   0

                                              5x2 1                                                            a sin x  b cos x                   2 2
                                                                                       dx                                                                          3
8. 
         1                                                          61.  cos ln x                                  x  2 x 1
                                                                                                                            3       2          10.   ( x  x x  x ) dx
              dx                           x2 1                                        x           89. 
                                                                                                                                                    1
        1 x                         33.  4       dx                                                                         dx                   2
                                           x 1                     62. 
                                                                                                                        4
                                                                                cos x sin xdx                             x                    11.  ( x  1)( x  x  1) dx
9.  3x5x dx
                                                                                                                                        dx
                                                dx                                                                                      2          1
                                     34.                                 cos x                                         2 x  3 3x                     3
       2x
10.  x dx                                  x x2  4                63. 
                                                                              x
                                                                                  dx                90.                    x                         
                                                                                                                                               12. ( x  1).dx
                                                                                                                                                           3
       7                                          xdx
                                     35.                           64.  3 sin x cos xdx                        2      2
                                                                                                                x 1  x 1
                                                                                                                                                      1
11.  32 x 1 dx                               x  x2  4
                                                4
                                                                                                    91.                    dx                     2 x.dx
                                                                           sin x                                     4
                                                                                                                   x 1                        13. 
12. 
       dx                            36.  2x (4x 1)5 dx           65.         dx                                                                -1 x 2  2
      513 x                                                              cos3 x                 e3 x  1
                                                                                            92.  x      dx
                                     37.  xe1 x dx                                                                                                   e2 7x  2 x  5
                                                   2

         x                                                          66.  tan(cos x)sin xdx      e 1                                                   
13.         dx                                                                                                                                14.                     dx
      1  x2                                  1                     67.  tan3 xdx                         1  2 x  x2
                                                                                                                                                        1       x
                                     38.         dx                                                93.                dx
14.  x(1  x2 )10 dx                      e 1                                                                                                        5    dx
                                                                                                              1 x
                                            x
                                                                                                                                                       
                                              2x 1                 68.  cot 4 xdx                                                            15.
                                     39.  2                                                              x2  1                                       2 x2 x2
      x(3x  1) dx                                                                                 94.  4 dx
                            9
15.                                                    dx
                                            x x2                  69. 
                                                                                   dx                     x 1                       2 ( x  1).dx
        dx                                      3x  2                      sin x  6cos 2 x
                                                                                 2                                               16. 
16.                                 40.  2                                                                   dx                    1 x 2  x ln x
      x 1    2
                                            4x  4x 1
                                                         dx
                                                                              sin 2 xdx             95. 
                                                                70.                                      1  2x 1                  
17. 
            dx                       41.  cos 2xdx                      2 cos x  1
                                                                                2
                                                                                                                  xdx
                                                                                                                                     2 cos3 x.dx
          x  2x
              2
                                                                                                97.                             17. 
            dx                       42.  cos3 xdx                         1 dx
                                                                71.  tan 2 3                           x  1 x  2  x  3      3 sin x
18.                                                                        x x                                                      6
              x2  1                                                                           98.  3
                                                                                                             xdx                     
                                     43.  cos(3x  )dx                         dx
                                                       5        72.  2                                 x  3x  2                   4 tgx .dx
               dx                                                      sin x  9cos x    2
                                                                                                                                 18. 
19.              x2  3             44.  cos4 3xdx                   sin x  cos x                                
                                                                                                            x 2  1 dx              0 cos2 x
                                                                73.                            99. 
                     dx                           dx                   sin x  cos x
                                                                                         dx
                                                                                                         x  1 x  1
                                                                                                                          2          1 e x  e x
20.                                 45.                  dx                                                                    19.  x        x dx
                  x 2  3x  1              cos 2 (3x  1)               sin x  cos x                                               0e e
                                                                74.                                             dx
                                     46.  sin 4xdx                    sin x  cos x  2
                                                                                             dx 100.
                                                                                                         x  a  x  b           1      x
                                                                                                                                           e .dx
                                                                        sin x cos x                                              20. 
21. 
                      dx                        x              75.                     dx                                          0 e x  e x
                                     47.  sin(  )dx                  sin x  cos x
              2 x2  5                                                                              BT TÍNH PHÂN
                 1                            dx
                                                2 7
                                                                                               
                                                                76.  cos4 x  sin 4 x dx A-TP CƠ BẢN                                2
                                                                                                                                 21. 
                                                                                                                                            dx
22.                                 48.  2
                                                                                               
                                dx                                                                 1
                                                                                                                                     1 4x 2  8x
                                                                77.  cos8 x  sin8 x dx 1. ( x3  x  1)dx
              3x 2  2 x                   sin 2 x                                                 
                                                                78.   cos10 x  sin10 x  dx
                                                     dx                                                                              ln 3
23.  x 2 2 x dx                     49. 
                      3                                                                            0
                                                                                                                                               .dx
                                           (cos x  3 sin x)  2                                    e
                                                                                                            1 1                  22.        x     x
                                                                      sin x  3cos x  1        2.  ( x   2  x )dx     2
                                                                                                                                       0 e e
     2 x  1dx
                       2
24.                                            dx               79.                        dx               x x                     
                                     50.                              sin x  cos x  2
                                                                                                   1

25.  x(1  x) dx          20              1  sin 2 x                                              2                                2 dx
                                                                80.  4
                                                                               dx               3.  x  1dx                     23.                 24.
                                     51. 
                                               dx
                                                                       sin x  cos x   4
                                                                                                    1
                                                                                                                                     0 1  sin x
                                           1  sin 2 x                                                                           3
                                                                                                                                  x  2 dx
                                                                                                                                 1                      1
B-PP ĐỔI BIẾN SỐ 2. Nếu hàm số có căn                                          3. hàm số có lũy thừa 8/ I= ln 3                            e
                                                                                                                                               x                          1          3
1. Nếu hàm số có mẫu:đặt t = căn                                               đặt t = biểu thức trong lũy   
                                                                                                                             0 (e    x                 x
                                                                                                                                                                dx   6/I =  2               dx
      đặt t = mẫu            22                                                thừa                                                       1) e            1             0 x  4x  5
                             3                                                                 1                               2x                                          0
            3
        3 x dx       1 ) I   3 3 x  5dx                                     1 ) I   x3 (1  x 4 )3dx                  2 e
                                                                                                                                                                     7/I = 
                                                                                                                                                                                         1
1/ I                       1                                                            0                          9/I =  x      dx                                                     dx
             02
             x 1                              1                                         1 5                               0 e 1                                          1 x 2  2x  9
             2x                       2) I   x3                2
                                                            2  x dx           2) I      x (1  x3 )6 dx                       x                                        2
      ln 5 e                                   0                                         0                                  1 e
                                                                                                                                                                     8/I =  4x  x 2  5 dx
2/I =             dx                                                                                               10/I =   x      dx
                                               e 1  ln x                                                                                                                  1
      ln 2 e x  1                    3) I                        dx                         2    3
                                                                                                                            0e     1
                                                                                                                                                                                 2
                                               1           x                   3/ I =           cos xdx             5. Hàm số có chứa Ln       1 x
       4
3/ I  
           1
                dx                                    2                                        0                          đặt t = Ln      9/I =    2
                                                                                                                                                      dx
                                             1
       0 2x  1                                     x
                                                                                                                                               0                           4x
                                      4/I   =               dx                                                            e sin(ln x)
                                            0 (x  1) x  1                           2                                                                                    1
                                                                               4/I =
                                                                                            5
                                                                                        sin xdx
                                                                                                                     1/I =            dx                                       4
         2 sin 2x. cos x                      4                                                                            1     x
                                                                                                                                                                            2 x
4/ I   =                dx           5) I   
                                                 1                                     0                                                                             10/I =  2    dx
                                                       dx                                                                    
         0 1  cos x                          0 2x  1                                 1 3 4      5
                                                                                                                           e                                                0 x 1
                                                                              5/I   =  x (x  1) dx                2/I =      cos(ln x)dx
                                              1 xdx
        2 sin 2x  sin x              6) I                                           0                                       1
5/I =                   dx                   0 2x  1                                      0                                e 1  3 ln x ln x
                                                                                                 sin 2x
        0 1  3 cos x                          2 3                             6*/I =                       dx      3/I =                                 dx
                                                     dx
                                     7) I                                                (2  sin x ) 2                 1            x
                   2                             5 x x2  4                                 2                                 2
        4 1  2 sin x                                                                                                       e        ln x
6/I =                 dx                    4     1                                                                4/I   =                  dx
        0 1  sin 2x                  8/I   =            dx                           2               2 3                   e       x
                                             2 x 16  x 2
                                                                               7/I=     sin 2x(1  sin x) dx
              5      3                                                                                                      
           3 x  2x                                                                    0
7/I =                 dx                          6                                   1 5                                   3 ln(sin x)
                                                                1                                3 6                 5/I =              dx
          0      2
               x 1                   9*/I =                             dx   8/I   =  x (1  x ) dx                        cos 2 x
                                              2 3 x x2  9                            0
                                                                                                                            6
      3                  tan x                   2 2                                                                         
8/I =                           dx   10/I
                                                          2
                                             =  x 4  x dx                    9/ I= 2 sin x cos x(1  cos x) 2 dx
                                                                                     
                        2
                                               1
                                                                                       0                             6/I = 3 sin x. ln(cos x)dx
                                                                                                                           
            cos x 1  cos x                                                                                                  0
        4                                                                                     3
                                               2     2    3                            1    x                                
                                      11/I   =  x (x  4) dx                  10/I   = 2         dx
                                               0                                       0 (x  1)
                                                                                                 3                          e2    2
        1        x                                                                                                   7/I   =  cos (ln x )dx
9/I =                   dx                        4
                                                                2
                                                                    4         11/    1
                                                                                                        2 3                  1
        04x
                     2                                      x                          (1 2x)(13x 3x ) dx
                                      12/I =                            dx           0                                            3      2
                                                                                                                             e ln x 2  ln x
                         3                     4 3              x                                                    8/I =                                 dx
          7    x
10/I =             dx                             3                                                                         1             x
        0 31  x 2                                  2                          4. hàm số nằm trên                            e
                                               2 x 1                                                                                   ln x
            2                         13*/I =              dx
                                                                               hàm e mũ                              9/I =              dx
       3 x 1                                                                                                                    2
                                               2 x x 2  1                    t = biểu thức trên mũ                      1 x (ln x  1)
11/I =          dx
                                                                                                                       e2  1       1 
                                                                                      4 e tan x  2
       0 x 1                               ln 2 x
                                      14/I =  e  1dx                                                               10/   2           dx
                                                                                                                        e  ln x ln x 
              3                              0                                 1/ I = 
       4 sin x
12/I =  2 dx                                 1    1
                                                                                      0 cos 2 x                      6.Hàm số có dạng
       0 cos x                        15/I   =         dx                                                          a2 + x2 thì đặt x = a tanu
                                             0 3  2x                                  2 sin 2 x                    a2 - x2 thì đặt x = a sinu
            2 sin 2x                                 2x                        2/I =     e       sin 2x dx          x2 - a2 thì đặt x = a /sinu
                                              ln 5 e                                    
13/I =                 dx            16/I   =            dx
            0 1  cos x                       ln 2 e x  1
                                                                                           4                                     1
                                                                                  
                                                                                                                                                   1
            7                                                                                                        1/I =           dx
        3 x 1                               2   x
                                                                               3/
                                                                                  2 sin 2 x            3                 3 x2 4  x2
14/I   = 3      dx                   17/I =         dx                           e       . sin x cos xdx
        0 3x  1                             11 x 1                             0                                      2 2
                                                                                                                                   2
                                               9                                                                 2/I =  x 4  x dx
            4
            
                  1
                                      18/I =  x.
                                                       3
                                                           1  xdx             4/I = 2 (esin x  cos x) cos x dx
                                                                                                                      1
15/I =                  dx
             7 x x2  9
                                               1                                      0                                2       2
                                               2       x 1                             1 3x 1                  3/I =  4  x dx
        2     1                       19/I =                       dx         5*/I =  e          dx                  0
16*/I =           dx                           3
                                               0 3x  2                                 0                               3
        1 x 1  x3                                                                 /2 sin 2 x 3
                                                                                                                             1
                                               2                              6/  e           sin x cos xdx
                                                                                                                 4/I =  2       dx
        7   x
              3
                                                 4                                  0                                    3 x 3
17/I =           dx                  20/I =      sin xdx                                       x                        3    1
                                                                                       1
       0 31  x 2                                0                                             e                 5*/I =            dx
                                                                               7/ I =                  dx
                                                                                            x
                                                                                       0 e e      x                      2 x2  1
                                                                                                                                                                                                  2
BT TỰ LUYỆN                                      
                                                                                        1  3ln x ln x     58/I=  cos3x.sin 8x dx
                                                                                     e                                                                                 1 3
                                                                                                                                                      24/ I =                        1  x 2 dx
                                                                                   
                                                     2                                                                                                                 x
                                                                             37.                       dx
                                           19.  sin xcos xdx
                                                                                                                                                                       0
      2
                                                               3         2
                                                                                               x                    π                                            1
                                                                                                                                                      25/I =  x5 1  x 2 dx
1.  sin xcos xdx
                                                                                    1
                    3             2
                                                                                                                   3
                                                                                  e 2ln x 1
                                                                                      e                    59. I =  3tg2x dx                                    0

                                                                              38. 
                                                     3
      
                                                                                             dx                    π                                 26/I =
                                                                                                                                                               1
                                                                                                                                                               
                                                                                                                                                                          x
                                                                                                                                                                                dx
      3                                                                                  x                          4                                          0         2x  1
                                                2                                1
                                                                                                                  π
                                                 e
                                                         sin x                                                                                                 1           1
                                           20.                    cosxdx          e2
      2                                                                               1  ln 2 x                                                      27/I =                         dx
                                                                              39. 
           2    3                                                                                                 4                                                    x
                                                                                                                                                                             4
2.     sin xcos xdx                                                                            dx        5/I =  (2cotg2x  5) dx
                                                                                                                                                               0e
                                                                                       x ln x                                                                 2             1
      3
                                                 4
                                                 
                                                                                   e                              π                                   28/I =                    x
                                                                                                                                                                                       dx
                                                                                                                                                               11 e
                                                    2
                                                                                  e2
                                                                                              1                   6
     2
        sin x                              21.  ecosx sin xdx                40.                     dx         π                                   29/I = 
                                                                                                                                                               2       e 2x
                                                                                                                                                                                     dx
3.                                                                                   cos 2 (1  ln x)      6/I = 1  cos x dx
                                                                                                                  2                                                          1
                                                                                                                                                                       x
                                                                                                                                                               0e
               dx                                                                                                  
     1  3cosx
                                                                                   e
   0                                              4                                 2
                                                                                        x                           0 1  cos x                       30/I = 
                                                                                                                                                               1         e x
                                                                                                                                                                                       dx
                                                                              41. 
                                                                                                                                                                       x
                                                1                                            dx                    π                                          0e                1
                                           22.  e x          2
                                                                                  1 1   x 1
                                                          2
                                                                                                                    2
      4
                                                                   xdx                                     7/ I =      sin2 x.cos2xdx                         e               ln x
      cot gxdx
                                                                                                                                                      31/I =                                  dx
4.                                               0                                1
                                                                                                                    0                                          1 x(ln
                                                                                                                                                                                 2
                                                                                                                                                                                     x  1)
                                                                                       x
                                                                              42. 
                                                                                                                    π
                                                                                                                                                             7
                                                                                            dx                      3
                                                                                                                         (2cos2 x-3sin2 x)dx 32/I = 3 x  1 dx
     6                                           2                                   2x 1                  8/I =   
                                                                                                                                                    
     
                                           23.  sin 3 xcos 2 xdx
                                                                                  0                                 0                                 3
                                                                                                                                                               0         3x  1
     6                                                                              1                                     π       π
                                                                                                                              sin(  x)
                                                                                    x
                                                                                                                                                               2

                                                                                             x  1dx
                                                 
              1  4sin xcosxdx                                                                                                                                  (x  3)                  x 2  6x  8 dx
                                                                                                                                                                         3
5.                                                                            43.                                         2       4                   33/I =
                                                 3
                                                                                                            9/ I=         
                                                                                                                                  π
                                                                                                                                        dx                     0
                                                                                                                         π
     0                                                                             0                                         sin(  x)                         1
                                                                                                                          2       4                                                  1
     1                                           2                                  1                                                                 34/I =                                     dx
                                                                                                1                        π                                                   2
                                                                                                                                                                                     4  x2
                                                                                    
                                                                                                                                                                         x
     x                                    24.  sin xcos xdx
                                                                                                                                                                 3
6.                 x  1dx
                        2                                     2          3
                                                                              44.                     dx   10 / I =
                                                                                                                         3
                                                                                                                               (tgx-cotgx)2 dx
                                                                                             x 1  x                                                         4                 1
                                                                                   0                                     π                           35/I =                                  dx
     0                                                                                                                  
                                                                                                                          6
                                                                                                                                                               2   x 16  x 2
     1                                           3                                  1
                                                                                                1
     x
                                                 
                                                                                    
                                                                                                                                                                    6                    1
7.                1  x 2 dx                                                  45.                     dx                π
                                                                                                                                                      36*/I =                                      dx
                                                 2
                                                    sin x                                    x 1  x                                                              2 3           x x2  9
                                           25. 
     0                                                                              0                                   4
                                                           dx                                              11/ I =       cos
                                                                                                                              4
                                                                                                                                  x dx
                                                 1  3cosx
                                                                                                                                                                  2 2
                                                                                                                                                                                     4  x 2 dx
                                                                                             x 1                                                     37/I =
     1                                                                              3                                   0                                         x

     x                x  1dx                                                      
              3             2                  0                                                                         π                                      1
8.                                                                           46.                 dx                     2                                     2
     0                                           4                                  1
                                                                                              x            12 / I =           3
                                                                                                                          sin x dx                   38/I =  x (x 2  4)3 dx
                                           26.  tgxdx
                                                                                                                         0                                     0
     1                                                                              e
                  x2                                                                sin(ln x)                       π
9.                              dx              0                            47.            dx            13*/
                                                                                                                    2 sin 3 x  sin x
                                                                                                                      3
                                                                                                                                                      39/I =
                                                                                                                                                                   4
                                                                                                                                                                   
                                                                                                                                                                                 x2  4
                                                                                                                                                                                        dx
                                                                                                                                         cot gx dx
     0            x 1
                   3
                                                                                 1
                                                                                        x                           π     sin x                                4 3
                                                                                                                                                                3
                                                                                                                                                                                  x
                                                                                                                    3
                                                                                      1  3ln x ln x
          1                                      4                                  e
                                                                                                               π
           x 1  x dx                            cot gxdx                      
                                                                                                                                                                                     x2  1
             3     2                                                                                                                                                2
10.                                        27.                                48.                    dx        2                                      40*/I =                           dx
          0                                                                      1
                                                                                              x         14/I =  sin 4 x dx                                         2           x x2  1
          2                                      6                                 e 2ln x 1                  0                                      41/I =
                                                                                                                                                               ln 2
                                                                                                                                                                             e x  1dx
                        1                                                            e                                                                           
                                                 
                                                                              49. 
          x                                                                                  dx                                                                0
11.                                   dx         6                                                            π
          x3  1                                                                        x
                                                 
                                                                                                                                                               1           1
          1                                28.           1  4sin xcosxdx          1                               3         1
                                                                                                                                                      42/I = 
                                                                                                                                                                         3  2x
                                                                                                                                                                                dx
                                                                                    e2                      15/I =                 dx                         0
                                                                                       1  ln x
          1                                                                                   2
         1                                                                                                         π sin 2 x cos2 x
12.                                                                                
                                                 0                                                                                                             π
             dx                                                               50.                 dx                       2      2                            2
      1  x2
                                                 1                                                                 4                                                 5
                                                                                         x ln x                                                       43/I =    sin             xdx
    0
          1
                  1
                                           29.   x           x 2  1dx              e
                                                                                    e2
                                                                                                                   π
                                                                                                                   4
                                                                                                                                                               0
                                                                                                                                                                     π

          1 x2  2 x  2dx
                                                 0                                             1           16/I =  cot2x dx
                                                                                    
13.                                                                                                                                                                  3     1
                                                 1                            51.                       dx         π                                  44*/I =                 dx
                                                                                       cos 2 (1  ln x)                                                                  cos x
                                                 x
                                                                                                                                                                     0
                                          30.                1  x 2 dx             e                             6
                                                                                                                                                                       e 2x
          1                                                                                                         π                                          1
                        1                                                           1 2 3                                                             45/I =                          dx
          
                                                 0                                                                                                                     x
14.            dx                                                                                                   2      2                                   0e                1
        x2  1
                                                 1                            52.    x x  5dx             17/I =  esin x sin 2x dx
                                                  x x  1dx
                                                                                                                                                               ln 3              1
    0
                                           31.      3 2
                                                                                    0                               π                                 46/I =                                dx
                                                                                                                    4                                           0            ex  1
    1
           1                                                                        
15.                                                                                                                π
                                                 0

                                                                                                      
                                                                                                                                                               π
                    dx                                                              2                                   tgx 2
      (1  3x 2 ) 2                                                                         4
                                                 1
                                                              x2              53.     sin x  1 cos xdx 18/I = 4 e
                                                                                                                                                               4                      1
                                                 
                                                                                                                                                      47/I =                                       dx
    0
                                           32.                         dx                                                                                     π     sin 2 x cot gx
                                                                                                                    0 cos2 x
          
                                                                                    0
          2                                      0        x 13
                                                                                    4                                π
                                                                                                                                                               6
                                                                                                2                                                              e ln x 3              2  ln 2 x
          e                                                                         4  x dx
                  sin x                          1
16.                         cosxdx                                            54.                                    2                                48/I =                                   dx
                                                                                                           19/ I =  1
                                                 x            1  x 2 dx
                                                         3                                                                     dx                                                     x
          
                                           33.                                      0                                                                          1
                                                                                                                     π sin 4 x                                 e sin(ln x)
          4                                      0                                  4                                4                                49/I =                             dx
                                                                                               2                                                                            x
                                                                                     4  x dx
                                                                                                                                                               1
                                                 2
                                                               1              55.                                     π
                                                 x
              2                                                                                                                                                1
                                           34.                           dx         0                                 4                               50/I =  x 3 (x 4  1)5 dx
 17.  e            cosx
                                sin xdx                    x 1    3                                       20/ I =  1          dx                             0

              
                                                 1
                                                                                    1 dx                              0 cos6 x                                 1
                                                                                                                                                                (1  2x)(1  3x  3x ) dx
                                                                                                                                                                                     2 3
                                                                                                                                                      51/I =
                                                         1  ln x
                                                 e
                                                                              56.                               π

                                                 
              4                                                                                                                                                0
          1                                35.
                                                            x
                                                                  dx                0 1  x2               21/
                                                                                                                 2
                                                                                                                  cos 2x(sin x  cos x)dx
                                                                                                                             4       4
                                                                                                                                                               2                 1
18.  e           x2  2
                            xdx                  1
                                                 e                                   e 1  ln x
                                                                                                                 0
                                                                                                                        π
                                                                                                                                                      52/I = 
                                                                                                                                                               1   x 1  x3
                                                                                                                                                                                           dx

                                                   sin(ln x)                  57. 
                                                 
          0
                                           36.               dx                                 dx         22/ I =
                                                                                                                        2    3
                                                                                                                         cos xdx
                                                                                                                                                               π

                                                       x                             1     x                            0                             53/I =
                                                                                                                                                               3
                                                                                                                                                                        tg 2 x  cot g 2 x  2dx
                                                 1                                                                      π                                      π
                                                                              58. / 
                                                                                        dx .                            2 4sin 3 x                             6
                                                                                                           23/ I =                  dx
                                                                                       x 2 1                           0 1  cosx
                                                                                                                                                                                                            3
         1                                                        3             1                                               1                                                       π                                                         1
54/I =  (1  x 2 )3 dx                                  85/I =
                                                                                                                      114/I =  x.ln 1  x dx
                                                                                         dx                                    2                                                       2           cos x                                         e
         0                                                         3        x2  3                                                                                            141/I =                          dx                      171/I =  ln 2 x dx
                                                                                                                                0            1 x                                       0     sin x  cos x  1                                   1
             1        1                                           1             1
55*/I =                    dx                           86/I =                          dx                                    t  ln x  2                                              4            1                                          e
             0e
                     2x
                          3                                                                                                                                                  142/I =                          dx                      172/I =    x(2  ln x) dx
                                                                  0         4  x2                                    115/I =                      dx  I  2
                              x                                                                                                 1 x                                                     1     x 2 (x  1)                                       1
         ln 3             e                                       π2                                                                                                                                                                              e2
56/I =                                 dx                                                                                      π                                                       1                        1                                           1
                                                                                                                                                                                                                                                                     
                                                                                                                                                                                                                                                                          1
          0          (ex  1)3                                      4                                                                                                         143/I =                                             dx   173/I =       (                      )dx
                                                         87/I =            sin xdx
                                                                                                                      116/I =
                                                                                                                                3
                                                                                                                                 sin x.ln(cos x)dx                                     3         x  4  (x  4)             3                  e        ln 2 x        ln x
                                                                    0
         0                                                                                                                      0                                                                                                                 2
57/I =  x(e2x  3 x  1)dx                                       π
                                                                                                                                  π
                                                                                                                                                                                        π                                               174/I =  (x 2  x) ln x dx
         1                                                       3     ln(sin x)                                                                                                       3       sin3 x                                            1
         π                                               88/I =                           dx                                   e2     2
                                                                                                                                                                              144/I =                 dx
         26
                                                                  π         cos 2 x                                   117/I =      cos (ln x)dx                                        0        cos x                                            2
                                                                                                                                                                                                                                        175/I =  x 2 ln(1  1 ) dx
          1  cos x sin x.cos xdx
                  3           5                                                                                                  1
58/I =                                                            6                                                                                                                     1                                                         1                    x
         0                                                        2                                                             π                                             145/I =  x 1  xdx                                                 2 ln x
                                                         89/I =    cos(ln x)dx                                                 4 1                                                     0
                                                                                                                                                                                                                                        176/I =                dx
             2 3                  1                               1                                                   118/I =           dx                                                                                                           5
59*/I =                                                                                                                                                                                                                                                x
                                                                                                                                                                              146/I =  x  4 . 1 dx
                                        dx                                                                                     0 cos x                                               6                                                           1
               5      x x 4      2                                   2
                                                         90*/I =       ln(          1  x 2  x)dx                                 π                                                   4        x2 x2                                        e
                                                                                                                                                                                                                                        177/I =  ln x 2 dx
         π                                                            0
                                                                                                                      119*/I =
                                                                                                                                    4
                                                                                                                                    
                                                                                                                                             1
                                                                                                                                                      dx                                  0          1                                            1   (x  1)
         4      x                                                                                                                                                             147/I =                                    dx
60/I =               dx                                 91*/I =
                                                                        3             1                                             0   cos3 x                                                                                                    e
         0 1  cos 2x                                                                            dx                                                                                      1         x  2x  9
                                                                                                                                                                                                       2
                                                                                                                                                                                                                                                  1
                                                                         2          x2 1                                       1            2
                                                                                                                      120/I =  x3ex dx                                                                                                 178/I =  x ln 1  x dx
                          2x                                                                                                                                                            3            1                                            2
         ln 5        e
61/I =                    dx                                     83        x 1                                                0                                             148/I =                          dx
                                                                                                                                                                                                                                                                1 x
         ln 2        ex  1
                                                         92/I =                 dx                                             π
                                                                                                                                                                                        1        4x  x 2                                         0
                                                                  1          x                                                                                                                                                                    π
                                                                                                                                2 sin 2 x                                                 2
         e       2
                  1                                                                                                  121/I =   e        .sin x cos3 xdx                     149/I =             4x  x 2  5 dx                                2
62/I =  x           .ln xdx                             93/I = 
                                                                  3         x3
                                                                                          dx                                    0                                                         1
                                                                                                                                                                                                                                        179/I =    cos x.ln(1  cos x) dx
                                                                                                                                                                                                                                                  π
         1       x                                                1x
                                                                            2
                                                                                 16                                            π                                                         2                2x  5                                 3
         1       x2                                               π                                                             2 sin 2x                                      150/I =                                    dx
                                                                                                                                                                                                                                              π
63/I =                  dx                                                                                           122/I =              dx                                            2         x 2  4x  13
         0 (x  1) x  1                                                               cos x
                                                                  6
                                                                                                                                0 1  cos x
                                                                                                                                         4                                                                                                    2       2
                                                         94/I =                                             dx                                                                                                                         180/  esin x sin x cos3 x dx
         π                                                        0     6  5sin x  sin 2 x                                    1             3                               151/I = 
                                                                                                                                                                                        1          1
                                                                                                                                                                                                               dx                             0
         2                                                            e2
                                                                                                                      123/I =                             dx                           0        3  ex                                           π
64/I =    sin x.sin 2x.sin 3xdx                                           1
                                                                                           
                                                                                                   1                            0 x 2  4x  5
         0
                                                         95*/I =        (
                                                                           2
                                                                                                       )dx                                                                                  1                                                     2 sin 2x
                                                                       e ln x                     ln x                          2       5                                                            4x
                                                                                                                                                                                                           e   2x                      181/I=                          dx
                                                                                                                      124/I =                                                                                                                    0 1  sin x
                                                                                                                                                           dx                               2   3e                                                         4
         π
                                                                  3                                                             1 x 2  6x  9                                152/I =                               dx
         2                                               96/I =            x  4 dx
                                                                                2
                                                                                                                                                                                            0        1  e 2x                                     π
65/I =    cos 2x(sin
                      4
                                        x  cos 4 x)dx            4                                                            1         1                                                                                                       2 sin 2x
         0                                                                                                            125/I =                                      dx                    4                1                            182/I =              dx
             π                                           97/I =
                                                                  2 3
                                                                    x  2x  x  2
                                                                            2
                                                                                                           dx                   5 2x  8x  26
                                                                                                                                      2                                       153/I =                               dx                           0 1  cos x
                                                                                                                                                                                                                                                           4
             2 3                                                  1                                                           1 2x  9
                                                                                                                                                                                           7     x 9  x2
66*/I =       ( cos x                 3 sin x )dx               3π                                                  126/I   =        dx                                                  π                                           183/I = 
                                                                                                                                                                                                                                                  2             5
                                                                                                                                                                                                                                                                           dx
             0                                                                                                                 0 x3                                                        2 x                                                   1   x 2  6x  9
                                                                   4
         3            x    7                             98/I =      cos 2x  1dx                                              4            1                                154/I =       e       sin 2 xdx
67/I =                                 dx                         π                                                  127/I =                         dx                                   0                                                     1 x 2  3x  2
         21 x
                      8
                            2x 4                                                                                                   x 2 (x  1)                                                                                         184/I =                 dx
                                                                   4                                                            1                                                           π                                                     0     x3
             π                                                    π                                                                  0           sin 2x                                     2            cos4 x
                 4cos x  3sin x  1                     99/I =  cos x sin xdx                                       128*/I =                                   dx          155/I =                                    dx                      4          1
             2
                                                                                                                                                                                                cos x  sin 4 x
                                                                                                                                                                                                       4                                185/I =                         dx
68*/I =                             dx                           0                                                                 π   (2  sin x)            2                           0
                                                                                                                                                                                                                                                      x 2 (x  1)
             0   4sin x  3cos x  5                                  2π                                                             2                                                  1           3
                                                                                                                                                                                                                                                  1

         9                                               100/I =                   1  sin xdx                                           x 3
                                                                                                                                                                              156/I =                      dx                                    1 ln(1  x)
69/I =  x.3 1  xdx                                                   0                                              129/I =
                                                                                                                                1
                                                                                                                                                     dx                                0        x 9  x                               186/I =                      dx
         1                                                                                                                      0 (x  1)(x  3x  2)
                                                                                                                                           2                                                                                                      0       x2  1
                                                                      3π                                                                                                                  π
         2       x 1                                                  4                                                        1
                                                                                                                                                                              157/I =      x sin xdx                                          11     x4
70/I =  3              dx                               101/I =               sin 2x dx                                                4x                                               0                                             187/I               dx
                 3x  2                                                π
                                                                                                                      130/I =                        dx                                                                                       01     x6
         0                                                                                                                      0 (x
                                                                                                                                         3
                                                                                                                                              1)                                       π 2     2
             π x
                                                                       4                                                                                                      158/I =    x cos                xdx                                1
71*/I =  sin 6 dx                                                    π
                                                                                                                      131/I = 
                                                                                                                                1                 1
                                                                                                                                                                    dx
                                                                                                                                                                                        0                                               188/I =  x15 1  x8 dx
             0             2                             102/I =               1  sin xdx                                     0 (x
                                                                                                                                         4
                                                                                                                                              4x  3)2                                 1                                                         0
             2           x
                                                                      0                                                                                                       159/I =  cos x dx
72*/I =                       dx                                                                                3              π                                                       0                                                         1             ex
                     2x  2x                           103/I =  ln(x  x 2  1)  dx
                                                                 1
                                                                                                                                3        sin 3 x                                                                                        189/I =                           dx
                                                                                                                                                                                                                                                           e  e x
             0
                                                                     1                                           132/I =                                 dx                       1
                                                                                                                                                                              160/I =  sin x dx
                                                                                                                                                                                                                                                  0         x
           3 3                                                                                                                  0   (sin x  3)
                                                                                                                                             2
73/I =     x .           1  x 2 dx                                        π       x sin x                                                                                             0                                                         e
          0                                              104*/I =                                    dx                        π                                                                                                       190/I=     ln x dx
                                                                            0 1  cos
                                                                                              2
                                                                                                  x                             3 4sin 3 x                                                  π2                                                    1
                 1 ln(1  x)                                                                                          133/I =              dx                                               4                                                    e
74**/I =                              dx                                   1                     1                             π 1  cos x                                   161/I =           x sin x dx                                       π
                 0    x 12                              105*/I =                                               dx                                                                          0
                                                                            1 (x
                                                                                  2
                                                                                           1)(4 x  1)                         6                                                                                                                 2 sin x
         π                                                                                                                      π                                                       π2                                              191/I =    (e     cos x) cos x dx
         2       sin x                                                      1 x4                                                3       1                                                                                                         0
75/I =                    dx                            106*/I =                             dx                     134/I =                  dx                            162/I =
                                                                                                                                                                                         4
         0   sin x  cos x                                                  1 1  2
                                                                                     x
                                                                                                                                π cos x.sin 2 x
                                                                                                                                                                                               x cos x dx                                        π
                                                                                                                                                                                         0
                                                                                                                                                                                                                                        192/I = sin 2x.cos x dx
                                                                                                                                                                                                                                                  2
         eπ                                                             π2
                                                                                                                                6
                                                                                                                                                                                        π                                                         
76/I =       cos(ln x)dx                                                                                                       π                                             163/I =           2                                                 0        1  cos x
                                                                         4                                                                                                               x cos            x sin x dx
         1
                                                         107/I =               x sin xdx
                                                                                                                      135/I =
                                                                                                                                3
                                                                                                                                 sin x.tgxdx
                                                                                                                                                                                        0                                                         π
             2                                                           0                                                                                                                  π                                                     2   sin 2x  sin x
77*/I =  4  x 2 dx                                                                                                            0                                                                                                       193/I =                     dx
             0                                                          π2                                                          π
                                                                                                                                                                                            6
                                                                                                                                                                              164/I = x cos x sin x dx
                                                                                                                                                                                            
                                                                                                                                                                                                           2                                      0     1  3cos x
         2                                                              4                                                           3      1                                                0                                                     π
               x                                         108/I =               x cos xdx                             136/I =                 dx
78/I =             dx
                                                                                                                                        sin 2x                                                                                                    4 1  2sin 2 x
         1 1  x 1                                                                                                                 π
                                                                        0                                                                                                               4 x
                                                                                                                                                                              165/I =   e   dx                                         194/I =                           dx
                                                                        π                                                           4                                                                                                             0 1  sin 2x
         e       1  3ln x ln x                                         6                                                           π
                                                                                                                                                                                        1
79/I =                         dx                       109/I = x.sin x cos2 xdx
                                                                                                                                                                                       π                                                              3   x5  2x 3
         1            x                                                                                                             4             sin 3 x                                                                               195/I =                           dx
                                                                        0                                             137/I =                                           dx
                                                                                                                                                                              166/I =
                                                                                                                                                                                        4 3x
         3                                                                                                                          0   (tg x  1) .cos x
                                                                                                                                             2             2         5                   e sin 4x dx                                                 0         x2  1
80/I =  ln(x 2  x)dx                                                      1 x 2e x                                                                                                    0
                                                                                                                                                                                                                                                  π
         2                                               110*/I =                                dx                             π
                                                                                                                                                                                        π
                                                                            0 (x  2)
                                                                                      2
                                                                                                                                 3           1                                167/I =  e2x sin 2 x dx                                            3                  tgx
         e
81/I =  (ln x)2 dx                                                                                                   138/I =                                           dx                                                             196/I =                                    dx
                                                                                                                                  π sin 2 x  9 cos 2                                                                                                 cos x 1  cos 2 x
                                                                      π 2x                                                                                                              0                                                         π
                                                                                          2                                                                         x
         1                                               111/I =      e             sin xdx                                                                                                                                                      4
                                                                      0
                                                                                                                                  3                                                     1        x 2e x
         e2          ln x                                                                                                        π                                            168/I =                         dx                                 2        x 1
82/I =                   dx                                          2                        1                                 2 cos x  1
                                                                                                                                                                                        0 (x       2) 2                                197/I =  (                  )2 dx
         e            x                                  112/I =  x 2 ln(1  )dx                                     139/I =                 dx                                                                                                 1 x  2
                                                                      1                        x                                  π cos x  2
                                                                                                                                                                                        e
         e2      ln x                                                                                                                                                        169/I =  (1  x) ln x dx                                           π
83/I =                dx
                                                         113/I =
                                                                      e         ln x                                              2                                                     1                                                         4     2
          1       ln x                                                                       dx                                 π                                                                                                      198/I =    x.tg x dx
                                                                      1     (x  1) 2                                                                                                   e                                                         0
         2                                                            e                                                          2 1  sin x                                  170/I =  x ln 2 x dx
84/I =    x ln(x
                  2
                                1)dx                                                                                 140/I =                 dx                                       1                                                         5
         1                                                                                                                       0 1  3cos x                                                                                           199/I =  ( x  2  x  2 ) dx
                                                                                                                                                                                                                                                  3
                                                                                                                                                                                                                                                                                         4
                                                                                                                       π                                                                                                                π
200/I =
          4
           
                    2
                         dx
                                                                3
                                                      229/I =  x 2 (1  x)3 dx                                                                                                   2            3x 3
          1     x 5 4
                                                                                                                       3
                                                                                                          256/I =  tg 4 xdx                                           284/I =                             dx
                                                                                                                                                                                                                          310*/I =
                                                                                                                                                                                                                                        2       sin x
                                                                0                                                                                                                 1    x  2x  1
                                                                                                                                                                                           2                                                             dx
                                                                    π
                                                                                                                       π                                                                                                                0   cos x  sin x
201/I = 
          2          x                                                                                                 4                                                          1                4x  1
                           dx                                       2   sin x.cos3 x                                                                                   285/I =                                      dx             π
          1      x2  2x                            230/I =                                  dx                         π                                                      0x
                                                                                                                                                                                           3
                                                                                                                                                                                                2x 2  x  2                       2         sin 4 x
          2 ln(1  x)
                                                                    0    cos x  1
                                                                                 2
                                                                                                                           2 1  sin x x                                                                                  311/I =                          dx
202/I =              dx                                                                                  257*/I =                    e                     dx        286/I =                                                      0   cos x  sin 4 x
                                                                                                                                                                                                                                             4
                                                                                                                           0 1  cos x
                                                                1
          1    x2                                               2           4x  1                                                                                     1                                                                π
          π                                           231/I =                              dx                       1                                                 2                       1                                        2          tgx
                                                                0   x  3x  2
                                                                        2
                                                                                                          258/I =             (1  x ) dx     2 3
                                                                                                                                                                                                                    dx   312*/I =                               dx
          2 sin 2x                                                                                                                                                     1 (3  2x)
203/I =                             dx                             π
                                                                                                                     0                                                                     5  12x  4x          2                      0    1  ln 2 (cos x)
          0 1  cos x
                                                                                             2
                                                      232*/I = x sin x.cos xdx
                                                                                                                      π                                               2
                                                                                                                                                                                                                                        π
          π                                                         0                                                  4                                                          1                1
                                     2008                       π                                         259/I =  x.tg 2 xdx                                         287/I =                              dx
                                                                                                                                                                                                                          313*/I =
                                                                                                                                                                                                                                        2         sin x
          2                  sin            x                                                                                                                                     0        x  1 x                                                       dx
204/I =                                         dx             2        cos x
                                                                                                                       0
                                                                                                                                                                                                                                        0    cos x  sin x
          0   sin 2008 x  cos 2008 x                 233/I =                     dx                              2               1                                               π
                                                                0       cos 2x  7                        260/I=                                dx                                2         cos x
                                                                                                                                                                                                                                        1             1
          π
                                                                                                                   0 (4  x
                                                                                                                                           2 2
                                                                                                                                            )                          288/I =                       dx                  314*/I =                               dx
          2                                                     4           1                                                                                                              2  cos 2x                                   1 (e
                                                                                                                                                                                                                                              x
                                                                                                                                                                                                                                                   1)(x 2  1)
           sin x.ln(1  cos x) dx
                                                                                                                                                                                   0
205/I =                                               234/I =                         dx
          0                                                     1   x 2 (x  1)                                        1           3x 2                                            π                                                    1    3x 1
                                                                                                          261/I =                                  dx
                                                                                                                                                                                   2 cos x  sin x                        315*/I =  e               dx
           3         x 12                                      π                                                      0           x3  2                              289/I =                    dx                                   0
206/I =                              dx                        2                                                                                                                  π 3  sin 2x
          1          x2                               235/I = sin 2x(1  sin 2 x)3 dx
                                                                                                                                  2       1  x5
                                                                0                                         262*/I =                                          dx                    4
          π                                                                                                                        1    x(1  x 5 )                                π
                     3                                          2 x 1
207/I = sin 2 x dx
          4                                                                                                                                                                        2
                                                     236/I =                        dx                               π                                               290/I =      (cos x  sin x)dx
                                                                                                                                                                                         3         3
                                                                0 3x  2
                                                                  3
          0   cos x                                                                                                    3 cos x                                                     0
                                                                                                          263/I =                                  dx
                                                                                                                       0 1  sin
          π                                                      4               1                                               2                                                 π
                                                      237/I =                              dx                                                  x
          2                                                                                                                                                                        2
208/I =    cos
                2
                         x.cos 4x dx                              7     x x2  9                                     2
                                                                                                                       π                                               291/I =  cos5 x sin 4 xdx
                                                                                                          264/I = sin 6 x dx
          0                                                                                                            3                                                           0
                                                                π                                                      
          1     1                                     238/I =  x sin 3 x cos 4 xdx                                    0   cos x                                       292/I
209/I =                          dx                            0
          0e
             2x
                 ex                                             π
                                                                                                                       π                                                   π
                                                                                                                       6   sin x  sin 3 x                                 2
          e      ln x                                            2                                        265/I =                         dx                          =    cos 2x(sin
                                                                                                                                                                                        4
                                                                                                                                                                                                   x  cos 4 x)dx
210/I =                          dx                  239/I =     cos x              cos x  cos3 xdx                 0       cos 2x                                      0
          1   (x  1)        2
                                                                
                                                                  π
          e                                                                                                             3                  1                                       π
                                                                  2
                                                                                                          266/I =                                       dx                        2       1
          1         1                                               1                                                  1       x (1  x )
                                                                                                                                   6                2                  293/I =                  dx
211/I =                  dx                          240*/I =        ln(           x 2  a  x)dx                                                                                0   2  sin x
          0      x 1  x                                           1                                                 π
                                                                                                                                                                                   π
                     2                                          π                                                      2           sin x
          1      x                                                       1  sin x                        267/I =                                      dx                         2       1
212/I =                         dx                   241/I =
                                                                2
                                                                                                                       0   cos x  3   2                               294/I =                  dx
          04x
                         2                                                                     dx                                                                                 0   2  cos x
                                                                0   (1  cos x)e            x
                                                                                                                     π2
          1      x                                                                                                             sin x
213/I =                   dx                                   π                                         268/I =                   dx
                                                                                                                                                                       295/I =     
                                                                                                                                                                                    2              1
                                                                                                                                                                                                            dx
          04x
                         2
                                                                    sin 2x  sin x                                    0           x
                                                      242/I =
                                                                2
                                                                                  dx                                  π
                                                                                                                                                                                   2       x x2 1
          1                                                     0      cos 3x  1                                      2
                                                                                                                                                                                       3
          2      x4                                                                                       269/I =  sin x cos x(1  cos x)2 dx
214/I =                     dx                                 π                                                                                                                   7   x3
          0   x2 1                                             4                sin 2x                                0                                               296/I =                         dx
                                                      243/I =                                                                                                                         3
                                                                                                                                                                                   0 1  x2
                                                                                                    dx                π
          π                                                     0   sin x  2cos x
                                                                            2                    2

                                                                                                          270/I = sin x  cos x dx
                                                                                                                     4 4     4
          2    sin 3x                                                                                                                                                                  2           1
215/I =                                                                                                                                                               297*/I =                            dx
                       dx                                         2
                                                                                                                           sin x  cos x  1
          0   cos x  1                                           2          x   3                                     0                                                               1   x 1  x3
                                                      244/I =                          dx                             π
             2
                                                                            1  x2                                                                                                                 x3
                                                                                                          271/I = sin x  cos x dx
                                                                  0                                                  4 4     4                                                    1
                             2                                                                                                                                         298/I = 
            2            x                                                                                                                                                                                 dx
216/I =                              dx                           2                                                   0   sin x  cos x  1                                      0x              1  x2
            0        1 x        2
                                                                  2          x3                                        π
                                                      245/I =                          dx
                                                                                                                           sin x cos x  cos x                         299/I =
                                                                                                                                                                                  1
                                                                                                                                                                                   
                                                                                                                                                                                                      1
                                                                                                                                                                                                                     dx
          2 1  x2                                                                                                     2
                                                                  0         1  x2                        272/I =                             dx                                 1 1  x 
217/I =                     dx
                                                                                                                                sin x  2                                                               1  x2
          11 x
                 4                                                                                                     0
                                                                  1         1  x2                                                                                                 π
             7   x3
                                                      246/I =                          dx                                     1
                                                                                                                                                                                   3               1
218/I =                              dx                           2         x2                                      1 ex                                              300/I =                              dx
            0 3 1  x2                                            2                                       273/I =    
                                                                                                                        3
                                                                                                                                   dx                                              π   sin 4 x cos x
                                                                                                                     a     x                                                       6
          ln 2 1  e x                                          1           x2                                                                                                     π
219/I =                         dx                   247/I =                        dx                             1     x 3  2x 2  10x  1
           0 1 e
                     x                                          0       4  x2
                                                                                                          274/I =                                                dx               2    cos x
                                                                                                                     0                 x 2  2x  9                    301/I =                  dx
          1                                                        2                                                                                                               0   cos x  1
                                                                                 1
220/I =  x 1  x dx                                  248/I =                             dx
                                                                                                          275/I = 
                                                                                                                     1             x3
                                                                                                                                                 dx                                π
          0                                                       2     x x 1   2
                                                                                                                     0 (x
                                                                                                                                   2
                                                                                                                                        1)3                                       2     cos x
          1                                                         3                                                                                                  302/I =                  dx
221/I =  x 2  1dx                                                                                                  1             3                                               0   2  cos x
                                                                1
          0                                           249/I =  x5 (1  x3 )6 dx                          276/I =                          dx                                     π
          π                                                     0
                                                                                                                     0     x3  1
                                                                                                                                                                                   2     sin x
                                                                π                                                              x 14                                   303/I =                  dx
222/I =
          2
           (cos x  sin x) dx
                3       3
                                                                                                          277*/I = 
                                                                                                                           1
                                                                                                                                                dx                                 0   sin x  2
                                                                2 sin x
          0                                           250/I =                         dx                                  0   x6  1                                              π
                                                                0 1  sin x                                                                                                             cos3 x
          3   x2  1                                                                                      278/I =
                                                                                                                     1    x                                            304/I =
                                                                                                                                                                                   2
                                                                                                                                                                                                dx
223/I =             dx                                         π                                                                               dx
          0    x 1                                                                                                  0 (2x  1)
                                                                                                                                3                                                  0   cos x  1
                                                                2         cos x
                                                      251/I =                     dx                                                                                                 π
224/I =
          1
           (1  x) .e
                   2 2x
                                       dx                       0       7  cos 2x                        279/I = 
                                                                                                                     7            1
                                                                                                                                        dx                                            2            1
                                                                                                                               2  x 1                                305/I =                               dx
          0
                                                      252/I =
                                                                4
                                                                
                                                                       1
                                                                                       dx
                                                                                                                     2
                                                                                                                                                                                      0    2cos x  sin x  3
          π
                                                                1 (1  x)x
                                                                           2                                            3                                                              π
          2          cos x                                                                                             2                   1
225/I =                                   dx                   2 x 1                                    280/I =                                      dx             306/I =
                                                                                                                                                                                       2
                                                                                                                                                                                       
                                                                                                                                                                                                   cos x
                                                                                                                                                                                                              dx
          0      cos 2 x  1                          253/I =                        dx                               1       x 1  x2                                                π   (1  cos x)2
                                                                0 3x  2
                                                                  3
          7                                                                                                            2                                                               3
          3 x 1                                                    π
                                                                                                                                                                                   π
                                                                                                          281*/I =  x ln(x  1  x ) dx
                                                                                                                   1               2
                                                      254*/I =  cos x  sin x dx
226/I =           dx                                          3
          0 3x  1
            3                                                                                                                                                                      4
                                                                  π 3  sin 2x                                             0                    1  x2                 307/I = tg 3x dx
                                                                                                                                                                                   
          π                                                                                                                                                                        0
                                                                   4
          2 1  sin 2x  cos 2x                                                                                      4
227/I =                                        dx               π                                        282/I =  (x  1)2 ln x dx                                   308*/I =
                                                                                                                                                                                       1
                                                                                                                                                                                        
                                                                                                                                                                                             1
                                                                                                                                                                                                        dx
          π    cos x  sin x                                     2                                                   1
                                                                                                                                                                                       1 3  e
                                                                                                                                                                                                2x
                                                                  cos x cos x  cos xdx
                                                                                    3
          6                                           255/I =                                                        3 2
                                                                
                                                                  π                                       283/I =     x ln(x  1) dx                                                   π sin 2 x
          1 (1  e x ) 2                                          2                                                  0                                                 309*/I =                  dx
228/I =                             dx                                                                                                                                                π 3  1
                                                                                                                                                                                            x
          0 1 e
                   2x
                                                                                                                                                                                                                                                                       5

								
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