how Laplace solved the Gaussian integral
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This is actually Laplace's method to evaluate the Gaussian integral, namely the integral of e^(-x^2) from -inf to inf. https://en.wikipedia.org/wiki/Gaussia... I believe this is a great method because calculus 2 students, with the knowledge of improper integrals and the willingness to see a double integral for the first time, should be able to understand. I will do it the classic way in my new 100 integrals video! Subscribe to @blackpenredpen so you don't miss it!
Here's how to "integrate" e^(-x^2) with the error function: • the impossible integral of e^(-x^2) &...
0:00 100 integrals part 2 coming soon
1:10 integral of e^(-x^2) from -inf to inf without using polar coordinates.
14:06 check out Brilliant!
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