A strange probability integral

**Isomorphism** · June 10th 2008, 12:52 AM

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)

**mr fantastic** · June 10th 2008, 02:42 AM

Originally Posted by Isomorphism

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

I'm sure statistics is much more interesting to everybody now .......

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