Evaluate:

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

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

Thanks,

Srikanth (Iso)