Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q67
The value of ∫_-(π)/2^((π)/2)((1+ sin^2 x)/(1+π^sin x)) d x is:
The value of $\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{1+\sin ^2 x}{1+\pi^{\sin x}}\right) \mathrm{d} x$ is :
Official answer
(2)
$\displaystyle \frac{3 \pi}{4}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.