Help with complex integration

Hey all

I've got the integral

{int}_0^infinity ((x^2/(1+x^6)) dx [sorry for this, I'm not sure how to use the math thing here]

The question is asking us to evaluate it using complex integrals. All I have with me is a textbook that has one example of this which I don't understand, and lecture notes, which have an example, but to do it, it says to look at the example in the book, which doesn't help me :(.

Anyways, if anyone could help sometime, I would greatly appreciate it, as I have my complex analysis exam in a few days and apparently I need to know how to do this :)

Thanks in advanced :D