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cheatsheet - Calculus II Final Exam Cheat Sheet LHospitals...

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Calculus II Final Exam Cheat Sheet L’Hospital’s Rule : When taking a limit, if you get an indeterminate form i.e. 0 , 0 ±∞ ±∞ ,etc you take the derivative of the top and bottom and evaluate the limit again… Integration by Parts | b b a a udv uv vdu and uv vdu = = choose u and dv from integral and compute du by differentiating u and computing v by integrating dv Trig Stuff 2 2 2 2 2 2 sin cos 1 1 tan sec 1 cot csc x x x x x x + = + = + = 2 2 sin 2 2sin cos 1 cos (1 cos2 ) 2 1 sin (1 cos2 ) 2 x x x x x x x = = + = Trig Substitution If the integral contains the following root use the given substitution and formula to convert into an integral involving trig functions. 2 2 2 2 2 2 sin sec tan a a bx x b a bx a x b a a bx x b θ = = + = Product and Quotients of Trig Functions For sin cos n m x xdx we have the following: 1. n odd. Strip 1 sine out and convert rest to cosines using 2 2 sin 1 cos x x = − , then use the substitution

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This note was uploaded on 01/13/2012 for the course MATH 2414 taught by Professor Mayfield during the Spring '09 term at Dallas Colleges.

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cheatsheet - Calculus II Final Exam Cheat Sheet LHospitals...

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