Question

How do you find the antiderivative of `(2x)(sinx)(cosx)`?

Answer 1

`int 2x*sin x*cos x d x`

`int x*2sin x cos x d x`

`2sin x cos x=sin 2x`

`int x* sin 2x *d x=-1/2x*cos 2x+1/4*sin 2x+C`

`int2x*sin x*cos x d x=-1/2x*cos 2x+1/4*sin 2x+C`