# How do you find #int (x+1)/(x(x^2-1)) dx# using partial fractions?

##### 1 Answer

You try to split the rational function into a sum that will be really easy to integrate.

#### Explanation:

First of all :

Partial fraction decomposition allows you to do that :

In order to find them, you have to multiply both sides by one of the polynomials at the left of the equality. I show one example to you, the other coefficient is to be found the same way.

We're gonna find

You do the same thing in order to find

So