Evaluate ∫01dx1−x44\int_0^1 \frac{dx}{\sqrt[4]{1-x^4}}∫0141−x4dx.
Γ(1/4)242π\frac{\Gamma(1/4)^2}{4\sqrt{2\pi}}42πΓ(1/4)2
Γ(1/4)22π\frac{\Gamma(1/4)^2}{2\sqrt{\pi}}2πΓ(1/4)2
Γ(1/4)2π\frac{\Gamma(1/4)^2}{\sqrt{\pi}}πΓ(1/4)2
Γ(1/4)2π\frac{\Gamma(1/4)}{2\sqrt{\pi}}2πΓ(1/4)