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Question Number 130188 by SEKRET last updated on 23/Jan/21

Answered by Lordose last updated on 23/Jan/21

$$$$$${\int }_0^{\mathrm{\infty }}\frac{{\mathrm{x}}^{\frac{5}{4}-1}}{{(1+\mathrm{x})}^{\frac{5}{4}+\frac{3}{4}}}\mathrm{dx}=\mathit{\beta }(\frac{5}{4},\frac{3}{4})=\frac{\mathbf{\Gamma }\left(\frac{5}{4}\right)\mathbf{\Gamma }\left(\frac{3}{4}\right)}{\mathbf{\Gamma }\left(2\right)}=\frac{\mathit{\pi }}{2\sqrt{2}}$$

Commented by SEKRET last updated on 23/Jan/21

$$\mathbf{thank}\mathbf{you}\mathbf{sir}\mathbf{eyler}\mathbf{betta}5\mathbf{like}$$

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