Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q23
Let [·] denote the greatest integer function. If ∫_0^e^3 [1/(e^x -1)] d x=α- log_e 2, then α^3 is equal to ____.
Let $\displaystyle [\cdot]$ denote the greatest integer function. If $\displaystyle \int_0^{\mathrm{e}^3}\left[\frac{1}{\mathrm{e}^{\mathrm{x}-1}}\right] \mathrm{d} x=\alpha-\log _{\mathrm{e}} 2$, then $\displaystyle \alpha^3$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
8
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.