Mathematics · 2021
JEE Main · 26 February 2021, Shift 1 · Q80
The value of Σ_n =1^100 ∫_n -1^n e^x-[x] d x, where [x] is the greatest integer ≤ x, is:
The value of $\displaystyle \sum_{\mathrm{n}=1}^{100} \int_{\mathrm{n}-1}^{\mathrm{n}} \mathrm{e}^{x-[x]} \mathrm{d} x$, where $\displaystyle [x]$ is the greatest integer $\displaystyle \leq x$, is :
Official answer
(4)
$\displaystyle 100(\mathrm{e}-1)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.