I modified the Gaussian integral!

Описание к видео I modified the Gaussian integral!

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We will evaluate the improper integral 1-e^(-1/x^2) from 0 to infinity. This integral actually converges thanks to the "1-". This integral is closely related to the most famous integral in the world, the Gaussian integral. In fact, we can use integration by parts, u-substitution, and L'Hosptial's rule to make the connection with the Gaussian integral. #calculus #mathforfun #blackpenredpen

Check out the related videos:
How Laplace solved the Gaussian integral, 👉    • how Laplace solved the Gaussian integral  
The original way with polar coordinate 👉    • How Gauss solved the integral of e^(-...  
The error function introduction 👉    • the impossible integral of e^(-x^2) &...  

0:00 My pick for the most famous integral in the world
0:14 integral of 1-e^(-1/x^2) from 0 to inf
9:17 Check out Brilliant

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