## 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.

Set

Then

Since

we get

In order to integrate the function
, we will need the technique of integrating rational functions. But in this case, we may use the identity

which implies

So

It is a common mistake to forget the constant .

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