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Homework Statement
Integrate exp(-z^2) over the rectangle with vertices at 0, R, R + ia, and ia.Homework Equations
int(0, inf)(exp(-x^2)) = sqrt(pi/2)
This is what I would have thought, but I'm supposed to be using the integral of e^(-z^2) to evaluate the real integral int(0,inf)((e^(-x^2))*cos(2ax)), which is apparently equal toIsn't the contour integral equal to 0 if there are no poles?