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Using change of variables, integrate $e^{\dfrac{x-y}{x+y}}$ over the triangle bounded by $x=0$, $y=0$, and $y=1-x$.

I'm using $u=x-y$ and $v=x+y$ but running into the issue where I have to integrate something like $ve^{u/v} \, dv$ which is nasty.

Any ideas?

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    Please use LaTeX.2012-11-21

1 Answers 1