# 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 is of the form

OR

This integral can be written as

Here the first function is and the second function is

Using the formula for integration by parts, we have

Using the formula above, equation (i) becomes

Using the given integral , we get

But using the relation and since we know that , we have