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I think the standard derivation of the Gaussian integral uses the same technique. It's between equations (2) and (3) of http://mathworld.wolfram.com/GaussianI
by mturmon 15y ago
I think the standard derivation of the Gaussian integral uses the same technique. It's between equations (2) and (3) of
http://mathworld.wolfram.com/GaussianIntegral.html http://mathworld.wolfram.com/GaussianIntegral.html
You make the single integral into a double integral, and then the double integral turns out to be easy to do using polar coordinates.
- nilaykumar 15y agoOh, that's a very good point! I never really thought of that technique as this kinda trick, but yeah. For some reason I always thought of it as squaring the integral (or the contour integration method).