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Problem 254

Find \(\iint_{D^{*}} \exp [(x-y) /(x+y)] d x\) dy where \(D^{*}\) is the region bounded by the lines \(\mathrm{x}=0, \mathrm{y}=0\), and \(\mathrm{x}+\mathrm{y}=1\).

Expert verified

The short answer is: \(\iint_{D^{*}} \exp\left[\frac{x-y}{x+y}\right] dx dy = \frac{1}{2}\exp[1] - \frac{1}{4}\exp[-1]\).

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Chapter 9

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