Mathematics · 2021
JEE Main · 25 February 2021, Shift 1 · Q68
The value of ∫_-1^1 x^2 e^[x^3] d x, where [ t ] denotes the greatest integer ≤ t, is:
The value of $\displaystyle \int_{-1}^1 x^2 \mathrm{e}^{\left[x^3\right]} \mathrm{d} x$, where $\displaystyle [\mathrm{t}]$ denotes the greatest integer $\displaystyle \leq \mathrm{t}$, is :
Official answer
(4)
$\displaystyle \frac{\mathrm{e}+1}{3 \mathrm{e}}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.