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## Homework Statement

Sketch the region of integration and then evaluate the double integral:

## Homework Equations

[tex]\int\int[/tex]x

^{2}e

^{xy}dA over the region R= {(x,y), y<=x<=1, 0<=y<=1}

## The Attempt at a Solution

I have managed to do half of the problem and integrate it respect to x but then have no idea how to finish the problem.

I mangaged to get upto [tex]\int[/tex]e

^{y}(2/y

^{2}-2/y

^{3}-1/y)+e

^{y2}(y-2/y+2/y

^{3}) dy

can someone please tell me how to finish it or if i have done something wrong so far??

cheers

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