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

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

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

This integral can be written as

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

Using the formula for integration by parts, we have

Using the formula above, equation (i) becomes