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

Note that . tells us that we are considering values above the line and below the line . Also, we can conclude from restriction given that goes from 0 to 1.

Therefore, the integral should be .

Does this make sense?

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yeah, I can see what you're saying. I ll watch out for this next time.

I'd integrate the x first, that way both lower bounds of integration are zero.