Mathematics · 2022
JEE Main · 25 July 2022, Shift 2 · Q9
Let [t] denote the greatest integer less than or equal to t. Then the value of the integral ∫_-3^101([ sin (π x)]+e^[ cos (2 π x)]) d x is equal to
Let $\displaystyle [t]$ denote the greatest integer less than or equal to $\displaystyle t$. Then the value of the integral $\displaystyle \int_{-3}^{101}\left([\sin (\pi x)]+e^{[\cos (2 \pi x)]}\right) d x$ is equal to
Official answer
(2)
$\displaystyle \frac{52}{e}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.