# Gaussian integral

From Conservapedia

This article/section deals with mathematical concepts appropriate for a student in late high school or early university. |

The **Gaussian integral** is the integral:

It has a value of . The value is needed to normalize the Normal distribution.

## Derivation

First look at the double integral

Separating it,

So, the double integral is merely the square of the Gaussian integral.

Now, do the double integral in polar co-ordinates. and , so:

Substituting into the integral,

Therefore,