The Gaussian Integral @RandomMathsInc
The Gaussian Integral  @RandomMathsInc
Uploaded August 2017 | Updated September 2026, 2 hours ago
In this video, we try to evaluate the Gaussian integral. Featuring some multi-variable calculus, some graphs and my Paint illustrations.

Little background:
I first came across this integral in my quantum mechanics class a couple of months ago (see D. Griffiths' Introduction to Quantum Mechanics, 2nd Ed., Problem 1.3). I thought the way to solve this integral was rather cool, and had it in my list of to-make video for a while now. And here it is.
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The Gaussian Integral

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