# Math Help - integration help

1. ## integration help

$\int^{2\pi}_{0} ( -2cost sint + sin^{2}t ) dt$

I know how to integrate sin^{2} but not sure how to do the first term?

2. ## Re: integration help

$\sin(2t) = 2\sin(t)\cos(t)$

3. ## Re: integration help

Or to integrate $\int -2sin(\theta)cos(\theta)d\theta$ make the substitution $u= cos(\theta)$. Then $du= -sin(\theta)d\theta$ so the integral becomes $2\int u du$.