How to solve ∫(cos^3x)(sin^2x) dx ?

1 Answer
Sep 30, 2015

See the explanation.

Explanation:

int cos^3xsin^2x dx = int cos^2xsin^2x cosx dx

= int (1-sin^2x)sin^2x cosx dx

= int (sin^2x-sin^4x)cosx dx

= 1/3sin^3x-1/5sin^5x +C