Calc 2 cheat sheet. Calc II Cheat Sheet by smithandrewa via cheatography.com/71791/cs/18986/ Trig Integrals ∫sinx dx ∫cosx dx ∫sec 2 x dx ∫tanx dx ∫secx tanx dx ∫csc 2 x dx ∫cscx cotx dx ∫cotx dx = -cosx dx + C = sinx dx + C = tanx dx + C = ln|secx| + C = secx + C = -cotx + C = -cscx + C = ln|sinx| + C Trig Identities ∫(1/x 2 + a 2 ) dx = 1/a tan -1 (x/a) + C

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2 lim x gx where 2 5if 2 13 if 2 xx xx Compute two one sided limits, 2 22 lim lim 5 9 xx gx x 22 lim lim 1 3 7 xx gx x One sided limits are different so 2 lim x gx doesn’t exist. If the two one sided limits had been equal then 2 lim x gx would have existed and had the same value. Some Continuous FunctionsCalculus Cheat Sheet AllMoe Han ... Formulario de Calculo Diferencial-IntegralErick Chevez3.2K views•2 slides.

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2. is a relative minimum of f ( x ) if f ¢ ¢ ( c ) > 0 . Find all critical points of f ( x ) in [ a , b ] . 3. may be a relative maximum, relative Evaluate f ( x ) at all points found in Step 1. minimum, or neither if f ¢ ¢ ( c ) = 0 . Evaluate f ( a ) and f ( b ) .

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Example 1: The equation of a circle is given as x 2 + y 2 = 49. Using precalculus, find its radius. Solution: The equation of a circle is given as (x − h) 2 + (y − k) 2 = r 2. The given equation can be written as (x − 0) 2 + (y − 0) 2 = 7 2 where (0, 0) is the center and 7 is the length of the radius. Answer: Radius = 7.

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