If $I_{m, n}=\int_0^1 x^{m-1}(1-x)^{n-1} d x$, for $m, n \geq 1$, and $\int_0^1 \frac{x^{m-1}+x^{n-1}}{(1+x)^{m+n}} d x=\alpha I_{m, n}$, $\alpha \in R$ then $\alpha$ equals _________. [JEE Main 2021, 26 Feb (Shift 2)]

Question

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

If \(I_{m, n}=\int_0^1 x^{m-1}(1-x)^{n-1} d x\), for \(m, n \geq 1\), and \(\int_0^1 \frac{x^{m-1}+x^{n-1}}{(1+x)^{m+n}}…

Practice more JEE Maths PYQs