How do you find the integral of $cos^4 x sin(2x) dx$ ?

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Answer 1 · 2016-04-21T13:38:17

Recall that $sin(2x) = 2sinxcosx$

$int cos^4xsin(2x) dx = int cos^4x (2sinxcosx) dx$

$= 2int cos^5x sinx dx$

Now use substitution.

Let $u = cosx$ , and finish the substitution to get

$2int cos^5x sinx dx = -cos^6x/3+C$

How do you find the integral of cos^4 x sin(2x) dxcos^4 x sin(2x) dx?