# Gaussian integral

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**Gaussian integral**, be titled, "".**Gaussian integral**

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This article/section deals with mathematical concepts appropriate for late high school or early college. |

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

Seperating it,

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

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

Substitutiing into the integral,

Therefore,