# Math Help - Finding the convergence of an integral

1. ## Finding the convergence of an integral

I'm trying to solve the following integral:
$\int^{\infty}_{0}\frac{x^{3}}{x^{6}+1}dx$
I know that it converges, but I am having trouble evaluating it. I've tried partial fractions, any u sub I can think of, and nothing seems to quite work...

2. ## Re: Finding the convergence of an integral

here for example.

3. ## Re: Finding the convergence of an integral

Very interesting stuff thank you!