Ok, I know this is rather simple, but I need to refresh my memory on this:

f(x,y) = xy 0<x<y<1

I want to find E(x).

I know I should do E(x) = integral(1 to x), integral(0,y) [x*(xy)]dxdy.

However, I also know I've probably screwed up on the integration limits. Can somebody double check on this. My final answer should be a # right? Thanks