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Question Number 163510 by mnjuly1970 last updated on 07/Jan/22

$$$$$$\mathrm{I}f$$$$\mathit{\varphi }={\int }_0^{\frac{\pi }{2}}\frac{1}{\sqrt{{sin}^5\left(x\right).cos\left(x\right)}+\sqrt{{cos}^5\left(x\right).sin\left(x\right)}}dx=$$$$findthevalueof:{\mathrm{\Gamma }}^2\left(\frac{3}{4}\right).\mathit{\varphi }$$$$$$

Commented by Ar Brandon last updated on 07/Jan/22

$$\mathrm{Looks}\mathrm{like}\mathrm{Q}163414,\mathrm{Sir}.$$

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