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
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