Prove that: \( \mathrm{P} \) \[ \int_{\alpha}^{\beta} \frac{d x}{x ...

Prove that:
\( \mathrm{P} \)
\[
\int_{\alpha}^{\beta} \frac{d x}{x \sqrt{(x-\alpha)(\beta-x)}}=\frac{\pi}{\sqrt{\alpha \beta}} \text { where } \alpha, \beta0
\]