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Math Help - Finding the convergence of an integral

  1. #1
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    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...
    Last edited by gattamelata; November 26th 2013 at 07:34 PM.
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  2. #2
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    Re: Finding the convergence of an integral

    Read about using residues to compute improper integrals of real functions.

    here for example.
    Thanks from gattamelata
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  3. #3
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    Re: Finding the convergence of an integral

    Very interesting stuff thank you!
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