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Math Help - Evaluating integrals by differentiating through integral sign

  1. #1
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    Evaluating integrals by differentiating through integral sign

    I'm trying to calculate the integral (which is a function of a):
    \int_0^\infty(x^2+a)^{-n}dx, where n is a positive integer and a>1

    The aim of the problem is to do it by differentiating through the integral sign, but i've done that with respect to a, and I've just got
    \int_0^\infty-n(x^2+a)^{-n-1}dx which is no easier to solve.

    What's the best way to go about this?
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  2. #2
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