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