## Problems on Techniques of Integration

The Arctangent function is one of these functions whose derivative is very nice (rational function). So it is a good idea to use the integration by parts technique in which will be differentiated. One may argue that we do not have two functions to apply this technique. That's true except that may also be seen as the product of the functions and .

Set

Then

Since

we get
So

But

which implies

It is a common mistake to forget the constant .

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