Mathematics · 2021
JEE Main · 4 August 2021, Shift 1 · Q69
If I_1=∫_0^π x e^cosec x d x and I_2=∫_0^π e^cosec x d x, then the ratio I_1: I_2 is equal to
If $\displaystyle \mathrm{I}_1=\int_0^\pi x e^{\operatorname{cosec} x} d x$ and $\displaystyle \mathrm{I}_2=\int_0^\pi e^{\operatorname{cosec} x} d x$, then the ratio $\displaystyle \mathrm{I}_1: \mathrm{I}_2$ is equal to
Official answer
(1)
$\displaystyle \pi: 2$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.