# Finding the convergence of an integral

• November 26th 2013, 07:21 PM
gattamelata
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...
• November 26th 2013, 11:35 PM
romsek
Re: Finding the convergence of an integral