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)]

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If \(\mathrm{I}(\mathrm{~m}, \mathrm{n})=\int_0^1 \mathrm{x}^{\mathrm{m}-1}(1-\mathrm{x})^{\mathrm{n}-1} \mathrm{dx}, \m…

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