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Math Help - Irrational integral

  1. #1
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    May 2011
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    Irrational integral

    I have read the tutorial of the calculus forum but still dont understand how you are supposed to prove that \int_0^L \frac{a^2}{(x^2+a^2)^{3/2}} dx = \frac{L}{\sqrt{L^2+a^2}} (or rather \int \frac{a^2}{(x^2+a^2)^{3/2}} dx = \frac{x}{\sqrt{x^2+a^2}}). I have also looked on the internet and read my analysis-book, but I mostly find examples of rational integrals. What method should I employ? (I tried the substitution u=\sqrt{x^2+a^2} without much success.)
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  2. #2
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    Re: Irrational integral

    Ok I found it now, I tried x=a \tan \theta and it worked out. Sorry for bothering.
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