prove-that-0-1-x-2-2-x-2-1-dx-pi-2pi-2-1-4-2-1-4-4-2pi-

Tinku Tara June 4, 2023 Integration 0 Comments

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

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

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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