prove that ∫_0 ^1 (√(((x^2 −2)/(x^2 −1)) ))dx=((π(√(2π)))/(Γ^2 ((1/4))))+((Γ^2 ((1/4)))/(4(√(2π))))


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Question Number 88197 by M±th+et£s last updated on 08/Apr/20

$p r o v e t h a t$ $\int_{0}^{1} \sqrt{\frac{x^{2} - 2}{x^{2} - 1}} d x = \frac{π \sqrt{2 π}}{Γ^{2} (\frac{1}{4})} + \frac{Γ^{2} (\frac{1}{4})}{4 \sqrt{2 π}}$
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