This was an exam question from a previous year, but I'm having a lot of trouble just finding the antiderivative of this.

I've tried factoring the bottom since it's a sum of cubes, and afterwards attempting to break it into partial fractions, but it just ends up being an insane mess

Could someone just steer me in the right direction of approaching this? I've been going at this for the past hour to no avail.

Thanks in advance.