Mathematics · 2026
JEE Main · 2 April 2026, Shift 1 · Q19
Let [·] denote the greatest integer function. Then the value of ∫_0^3((e^x+ e^-x)/([x]!)) d x is:
Let $\displaystyle [\cdot]$ denote the greatest integer function. Then the value of $\displaystyle \int_0^3\left(\frac{\mathrm{e}^x+\mathrm{e}^{-x}}{[x]!}\right) \mathrm{d} x$ is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{1}{2}\left(e^2+e^3-\frac{1}{e^2}-\frac{1}{e^3}\right)$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.