# Integration of Square Root of a^2-x^2

In this tutorial we shall drive the integration of square root of a^2-x^2, and solve this integration with the help of integration by parts methods.

The integral of $\sqrt {{a^2} - {x^2}}$ is of the form

This integral can be written as

Here first function is $\sqrt {{a^2} - {x^2}}$ and second function will be $1$

Using formula for integration by parts, we have

Equation (i) becomes using above formula, we have