If $\mathrm{I}(\mathrm{m},\mathrm{n})={\int }_{0}^{1}{\mathrm{x}}^{\mathrm{m}-1}(1-\mathrm{x}{)}^{\mathrm{n}-1}\mathrm{dx},\mathrm{m},\mathrm{n}0$, then $\mathrm{I}(9,14)+\mathrm{I}(10,13)$ is [JEE Main 2025, 24 Jan (Shift 1)]

Question

If $\mathrm{I}(\mathrm{m},\mathrm{n})={\int }_{0}^{1}{\mathrm{x}}^{\mathrm{m}-1}(1-\mathrm{x}{)}^{\mathrm{n}-1}\mathrm{dx},\mathrm{m},\mathrm{n}>0$, then $\mathrm{I}(9,14)+\mathrm{I}(10,13)$ is [JEE Main 2025, 24 Jan (Shift 1)]

YESPYQ · Accepted Answer

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

If \(\mathrm{I}(\mathrm{m},\mathrm{n})={\int }_{0}^{1}{\mathrm{x}}^{\mathrm{m}-1}(1-\mathrm{x}{)}^{\mathrm{n}-1}\mathrm{…

Practice more JEE Maths PYQs