Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q71
Let A_k=∫_k π^(k+1) π e^-x sin x d x, k=0,1,2, …, 20. Then Σ_k=0^20|A_k| is equal to
Let $\displaystyle A_k=\int_{k \pi}^{(k+1) \pi} e^{-x} \sin x d x, k=0,1,2, \ldots, 20$. Then $\displaystyle \sum_{k=0}^{20}\left|A_k\right|$ is equal to
Official answer
(2)
$\displaystyle \frac{1}{2}\left(\frac{e^\pi+1}{e^\pi-1}\right)\left(1-e^{-21 \pi}\right)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.