Mathematics · 2023
JEE Main · 30 January 2023, Shift 1 · Q69
If [ t ] denotes the greatest integer ≤ t, then the value of (3( e -1))/e ∫_1^2 x^2 e^[x]+[x^3] d x is:
If $\displaystyle [\mathrm{t}]$ denotes the greatest integer $\displaystyle \leq \mathrm{t}$, then the value of $\displaystyle \frac{3(\mathrm{e}-1)}{\mathrm{e}} \int_1^2 x^2 \mathrm{e}^{[x]+\left[x^3\right]} \mathrm{d} x$ is :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \mathrm{e}^8-\mathrm{e}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.