You can integrate even powers of sines and cosines. For example, if you wanted to integrate sin2 x and cos2 x, you would use these two half-angle trigonometry identities: Here’s how you integrate cos2 x: Use the half-angle identity for cosine to rewrite the integral in terms of cos 2x: Use the Constant Multiple Rule. Get the answer to Integral of sin(x)^2 with the Cymath math problem solver – a free math equation solver and math solving app for calculus and algebra.

Integral sin, cos, sec2 ResourcesSearchProofs: Integralsin, cos, sec 2, csc cot, sec tan, csc 2( ResultTrig)Discussion of cosx dx = sin x + Csinx dx = -cos x + Csec 2x dx = tan x + Ccscx cot x dx = -csc x + Csecx tan x dx = sec x + Ccsc 2x dx = -cot x + C1. ProofsFor each of these, we simply use the Fundamentalof Calculus, because we know their corresponding derivatives. Cos(x) =sin(x), cos(x)dx = sin(x) + c -sin(x) =cos(x), sin(x)dx = -cos(x) + c sec ^2(x) =tan(x), sec ^2(x)dx = tan(x) + c -csc(x)cot(x) =csc(x), csc(x)cot(x)dx = -csc(x) + c sec(x)tan(x) =sec(x), sec(x)tan(x)dx = sec(x) + c -csc ^2(x) =cot(x), csc ^2(x)dx = -cot(x) + cSee also:,. © 2000-2005 Math.com.

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