Hi all,

I'm trying to solve the following by converting it to polar coordinates.

$\displaystyle \int_{0}^{\sqrt{2}}\int_{y}^{\sqrt{4-y^2}} xy dxdy$

I know that the x*y term will become:

$\displaystyle (rcos(\theta))(rsin(\theta))r drd\theta$

However I'm not sure how to get the integration boundaries. I've looked around but I can't find an example that is similar. Any help would be greatly appreciated. Thanks.