Cheat Sheet for Calculus II Exam

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```					Cheat-sheet for Calculus II exam
You are expected to know: • Everything related to algebra. • Everything related to elementary trigonometry. In particular, you need to know your way around the trigonometric circle. • Integration and diﬀerentiation formulas and techniques from Calculus I. • Diﬀerentiation formulas for ex , ln x. • Deﬁnitions of the functions sinh, cosh, tanh. • Although you need not memorize the formulas given on this sheet, you should know how they were computed. • Note that every diﬀerentiation formula has an associated integration formula. For example: 1 d tanh−1 x = dx 1 − x2 ⇒ 1 dx = tanh−1 x + C 1 − x2

cos2 x + sin2 x = 1 d sin x = cos x dx d cos x = − sin x dx d tan x = sec2 x = 1 + tan2 x dx 1 d sin−1 x = √ dx 1 − x2 d 1 cos−1 x = − √ dx 1 − x2 1 d tan−1 x = dx 1 + x2

cosh2 x − sinh2 x = 1 d sinh x = cosh x dx d cosh x = sinh x dx d tanh x = sech2 x = 1 − tanh2 x dx d 1 sinh−1 x = √ dx 1 + x2 1 d cosh−1 x = − √ 2−1 dx x d 1 tanh−1 x = dx 1 − x2

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 views: 1019 posted: 5/20/2008 language: English pages: 1