Question

How do you find the integral of `cos^3 x`?

Answer 1

Use `cos^3x = cos^2x cosx = (1-sin^2x) cosx = cosx - sin^2xcosx`

Explanation:

So,
`int cos^3x dx = int cosx dx - int sin^2xcosx dx`

`=sinx -sin^3x/3 +C`