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Thread: How can I find the following definite integral

  1. #1
    Junior Member
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    How can I find the following definite integral

    I am solving a paper where I am stuck at this point. I could go forward, but I don't want to skip the understanding of this point.

    $g(x) = \frac{1}{x^{\eta}+\epsilon}$

    $$\int^\infty_0\frac{g(x) x}{g(x) + A}$$

    where A $\eta,\epsilon$ are constants.

    Thanks
    Last edited by sjaffry; Sep 26th 2018 at 08:41 PM.
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  2. #2
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    Re: How can I find the following definite integral

    This might help

    $\displaystyle \int_0^{\infty } \frac{1}{x^n+1} \, dx=\frac{\pi /n}{\sin (\pi /n)}$

    $\displaystyle n\geq 2$
    Thanks from topsquark and sjaffry
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