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Math Help - A strange probability integral

  1. #1
    Lord of certain Rings
    Isomorphism's Avatar
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    A strange probability integral

    Evaluate:

    \int_{0}^{1} \frac{\gamma}{\beta^3} \frac{e^{-\frac{\gamma^2}{2\beta^2}}}{\pi \sqrt{1 - \beta^2}} \, d\beta

    Where \gamma is a constant. I am hoping the answer will resemble the Gaussian distribution.


    Thanks,
    Srikanth (Iso)
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by Isomorphism View Post
    Evaluate:

    \int_{0}^{1} \frac{\gamma}{\beta^3} \frac{e^{-\frac{\gamma^2}{2\beta^2}}}{\pi \sqrt{1 - \beta^2}} \, d\beta

    Where \gamma is a constant. I am hoping the answer will resemble the Gaussian distribution.


    Thanks,
    Srikanth (Iso)
    The thread that motivated this integral might also be of interest: http://www.mathhelpforum.com/math-he...tml#post155928

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