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

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Prove that:
\( \mathrm{P} \)
W
\[
\int_{\alpha}^{\beta} \frac{x \cdot d x}{\sqrt{(x-\alpha)(\beta-x)}}=(\alpha+\beta) \frac{\pi}{2} \text { where } \alpha\beta
\]
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