# Contour integral, exp(-z^2)

NT123

## 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)

## The Attempt at a Solution

I 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.