(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known dataIntegrate exp(-z^2) over the rectangle with vertices at 0, R, R + ia, and ia.

2. Relevant equations

int(0, inf)(exp(-x^2)) = sqrt(pi/2)

3. The attempt at a solutionI really don't have much of an idea here - the function is analytic so has no residues... The part from 0 to R is just the real integral, but for the other 3 sides I'm not too sure on how to proceed.

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# Contour integral, exp(-z^2)

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