Thread: Integral of rational functions

I have no idea what direction to go in with this integral if anyone can please:



I have made an attempt at polynomial long division but I dont think that is the way.
Not sure if using partial fraction decomposition is the way to go here?

Originally Posted by shadow85

I have no idea what direction to go in with this integral if anyone can please:

The integrand can be written as .

Factorise the denominator of the second term using the usual difference of two cubes formula and then break it up into partial fractions.