How do you use partial fractions to find the integral #int (4x^2)/(x^3+x^2-x-1)dx#?
The general method to integrate proper rational functions is to develop them in a sum of partial fractions.
In order to do that, we must first factorize the denominator.
You can easily see (x+1) and (x-1) are factors and write:
The decomposition in partial fraction is thus:
Equating the coefficientS of the same grade in
that can be solved as: