Mathematics · 2021
JEE Main · 4 August 2021, Shift 2 · Q71
If u+v+w=91, and 2 u=3 v=4 w, then the value of ∫_u-v+w^2 u+v+4 w e^(x-[x]) d x, where [x] denotes the greatest integer ≤ x, is equal to
If $\displaystyle u+v+w=91$, and $\displaystyle 2 u=3 v=4 w$, then the value of $\displaystyle \int_{u-v+w}^{2 u+v+4 w} e^{(x-[x])} d x$, where $\displaystyle [x]$ denotes the greatest integer $\displaystyle \leq x$, is equal to
Official answer
(4)
$\displaystyle 161(e-1)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.