how Laplace solved the Gaussian integral

Learn more calculus from Brilliant: 👉 (20% off with this link!) This is actually Laplace’s method to evaluate the Gaussian integral, namely the integral of e^(-x^2) from -inf to inf. 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: 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! 🛍 Shop math t-shirts & hoodies: 10% off with the code “WELCOME10“ ---------------