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

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Answer 1 · 2016-05-29T14:57:51

$int 2x*sin x*cos x d x$

$int x*2sin x cos x d x$

$2sin x cos x=sin 2x$

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

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

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