Question

How do you integrate `cos^3 x`?

Answer 1

`intcos^3xdx=-sin^3x/3+sinx+C` See explanation.

Explanation:

`intcos^3xdx=intcos^2x*cosxdx=int(1-sin^2x)cosxdx=|(t=sinx),(dt=cosxdx)|=int1-t^2dt=t-t^3/3+C = -sin^3x/3+sinx+C`