JEE MAIN - Mathematics Hindi (2022 - 25th June Morning Shift - No. 1)

$$ \int_{0}^{\pi} \frac{e^{\cos x} \sin x}{\left(1+\cos ^{2} x\right)\left(e^{\cos x}+e^{-\cos x}\right)} \mathrm{d} x$$ का मान बराबर है :
$$ \frac{\pi^{2}}{4} $$
$$ \frac{\pi^{2}}{2} $$
$$\frac{\pi}{4}$$
$$\frac{\pi}{2}$$

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