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 is of the form

OR

This integral can be written as

Here first function is

and second function will be

Using formula for integration by parts, we have

Equation (i) becomes using above formula, we have

Putting the given integral

, we get

But using the relation

and we know that

we have

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