## Problems on Techniques of Integration

We recognize here a rational function. The technique of integrationg such functions is the ** partial decomposition technique**. In this case, the degree of the denominator is 2 with an irreducible polynomial function. So no need to perform the long-division. One may also use the table for this integration.

We have

which implies

Since

and

we get

It is a common mistake to forget the constant .

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