Mathematics · 2025
JEE Main · 24 January 2025, Shift 1 · Q18
If I ( m, n )=∫_0^1 x^m -1 (1- x )^n -1 dx, m, n >0, then I (9,14)+ I (10,13) is
If $\displaystyle \mathrm{I}(\mathrm{m}, \mathrm{n})=\int_0^1 \mathrm{x}^{\mathrm{m}-1}(1-\mathrm{x})^{\mathrm{n}-1} \mathrm{dx}, \mathrm{m}, \mathrm{n}>0$, then $\displaystyle \mathrm{I}(9,14)+\mathrm{I}(10,13)$ is
Official answer
From NTA’s final answer key for this paper.
(1)
I$\displaystyle (9, 13)$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.