Question

How to solve ∫(cos^3x)(sin^2x) dx ?

Answer 1

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`