What is the value of \(\int_0^1 \frac{x^2}{\sqrt{(1-x^4 )}} \)?
Posted: Thu Jul 14, 2022 9:29 am
a) \(\frac{2\sqrt{\pi} \Gamma(\frac{5}{4})}{Γ(\frac{1}{4})} \)
b) \(\frac{2\pi\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})} \)
c) \(\frac{2\sqrt{\pi} \Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})} \)
d) \(\frac{2\sqrt{\pi} \Gamma(\frac{3}{4})}{\Gamma(\frac{5}{4})} \)
b) \(\frac{2\pi\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})} \)
c) \(\frac{2\sqrt{\pi} \Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})} \)
d) \(\frac{2\sqrt{\pi} \Gamma(\frac{3}{4})}{\Gamma(\frac{5}{4})} \)