Prove that: \( \int_{\alpha}^{\beta} \sqrt{(x-\alpha)(\beta-x)} d x...

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Prove that:
\( \int_{\alpha}^{\beta} \sqrt{(x-\alpha)(\beta-x)} d x=\frac{(\beta-\alpha)^{2} \pi}{8} \)
\( \mathrm{P} \)
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