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JEE-Adv Paper-2: Can you solve it?

Calculus Level 3

\[ \large \int_{-\pi/2}^{\pi /2} \dfrac{ x^2 \cos x}{1 + e^x} \, dx = \, ? \]

\[\pi^2+e^{{\pi^2}/ { 2}}\] \[\frac{\pi^2}{4}-2\] \[\pi^2-e^{ {\pi} / {2}}\] \[\frac{\pi^2}{4}+2\]

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by Sparsh Sarode

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