Gaussian integral - AbsoluteAstronomy.com

The Gaussian integral, also known as the Euler-Poisson integral or Poisson integral, is the integral of the Gaussian function e^−x² over the entire real line.
It is named after the German mathematician and
physicist Carl Friedrich Gauss

Carl Friedrich Gauss

Johann Carl Friedrich Gauss was a German mathematician and scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.Sometimes referred to as the Princeps mathematicorum...

. The integral is:

This integral has wide applications.