Find ∫011−x23dx\int_0^1 \sqrt[3]{1-x^2} dx∫0131−x2dx in terms of the Beta function B(a,b)B(a, b)B(a,b).
12B(13,12)\frac{1}{2}B(\frac{1}{3}, \frac{1}{2})21B(31,21)
12B(12,43)\frac{1}{2}B(\frac{1}{2}, \frac{4}{3})21B(21,34)
12B(23,12)\frac{1}{2}B(\frac{2}{3}, \frac{1}{2})21B(32,21)
B(13,1)B(\frac{1}{3}, 1)B(31,1)