# 1 by joebarnec

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• pg 1
```									                 Use the 2nd Fundamental Theorem of Calculus to find the derivative!
What does the little mermaid wear?                                      Answer key
1) F(x)=(-1)∫(x) ((t^4) + 1)^.5 dt                                                     fish: 4(x^3)(cos(x^4)) - 4(x^15) - cosx + (x^3)
2) F(x)=(5)∫(3x) (t^3) + t dt                                                          bra: ((sinx)^2)(cosx) + sinxcosx
3) F(x)=(-1)∫(cosx) t+3 dt                                                             shirt: ((lnx)^3)/x
4) F(x)=(0)∫(x^.5) ((t^2) + 4)^.5 dt                                                   An: 3x
5) F(x)=(1)∫(3)       ( ((t^2) + 4)^.5)/cost dt                                        shoes: 5(x^29) + 5(x^4)
6) F(x)=(sinx)∫(3) t +8 dt                                                             sand: -((cos)^.5)(sinx) -((lnx)^2)/x
7) F(x)=(x)∫(x^2) (t^2) + 3t dt                                                        ocean: 0
8) F(x)=(3)∫(x^2) (t^5) + 3 dt                                                         agua: 3(x^2)(cos(x^3)) - cosx
9) F(x)=(80)∫(x) cost - (t^3) dt                                                       pants: (lnx)/(x) + sinxcosx
10) F(x)=(cost)∫(sint) t dt                                                            from: e^2x + 100e^x
11) F(x)=(4)∫(e^x) t + 100 dt                                                          algae: 2sinxcosx
12) F(x)=(cosx)∫(lnx) t dt                                                             it: cosx - (x^3)
13) F(x)=(x)∫(x^3) cost dt                                                             help: 2(x^11)
14) F(x)=(x)∫(x) cost - t dt                                                           crab: 2(x^5) + 6(x^3) -(x^2) + 3x
15) F(x)=(lnx)∫(cosx) (t^2) dt                                                         care: -sinxcosx - 8cosx
16) F(x)=(9)∫(x^5) (t^5) + 1 dt                                                        what: 0
17) F(x)=(x)∫(2x) t dt                                                                 sock: ((x + 4)^.5)/(2(x^.5))
18) F(x)=(4)∫(lnx) (t^3) dt                                                            melon: -sinxcosx-3sinx
19) F(x)=(15)∫(sinx) (t^2) + t dt                                                      super: 81(x^3)
20) F(x)=(x)∫(x^4) cost - (t^3) dt                                                     ice: ((x^4) + 1)^.5
ANSWER: 17 - 10 -19

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