- #1

- 594

- 12

## Homework Statement

∫∫xe

^{xy}dxdy where upper and lower limits are 0≤x≤1, 0≤y≤1

so I complete u substitution and get the integral

1/y

^{2}∫ u*e

^{u}du

Now with integration by parts I end up with

xy*e

^{xy}-e

^{xy}/y

^{2}

I have to evaluate this integral at 0≤x≤1, 0≤y≤1, as mentioned above.

The problem I have is that after evaluating I get an answer of 1, but I've computed this question into symbolab online and it says the answer is e-2.

I was wondering how these two statements are equivalent (below)

(e

^{y}(y-1)+1)/y

^{2}

(e

^{y}- (e

^{y}(y-1))/y) - 1/y