Mathematics · 2022
JEE Main · 24 June 2022, Shift 2 · Q6
The value of the integral ∫_-π / 2^π / 2 (d x)/((1+e^x)( sin^6 x+ cos^6 x)) is equal to
The value of the integral $\displaystyle \int_{-\pi / 2}^{\pi / 2} \frac{d x}{\left(1+e^x\right)\left(\sin ^6 x+\cos ^6 x\right)}$ is equal to
Official answer
(3)
$\displaystyle \pi$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.