Gaussian Integral
Tags: #math #calculusEquation
$${\displaystyle \int _{-\infty }^{\infty }e^{-x^{2}}\,dx={\sqrt {\pi }}.} $$Latex Code
{\displaystyle \int _{-\infty }^{\infty }e^{-x^{2}}\,dx={\sqrt {\pi }}.}
Have Fun
Let's Vote for the Most Difficult Equation!
Introduction
Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function {\displaystyle f(x)=e^{-x^{2}}} over the entire real line. This integral is significant in probability theory and statistics, particularly in relation to the normal distribution. This integral is significant in probability theory and statistics, particularly in relation to the normal distribution1.