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MathCalculus

Evaluate the Double Integral Over the Given Region R

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Question

Evaluate the double integral over the given region:

∬Rex−y dA,R={(x,y):0≤x≤ln⁡2, 0≤y≤ln⁡2}.\iint_R e^{x-y}\,dA, \qquad R=\{(x,y):0\le x\le \ln 2,\ 0\le y\le \ln 2\}.

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Evidence boundary

The problem statement and rectangular bounds are taken from the cited Florida International University course key. The value is obtained by a directly reproducible symbolic calculation using Fubini's theorem; no measured or student-supplied data are involved.