The value of \( \int_{-\pi / 2}^{\pi / 2} \frac{x^{2} \cos x}{1+e^{...

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The value of \( \int_{-\pi / 2}^{\pi / 2} \frac{x^{2} \cos x}{1+e^{x}} d x \) is equal to
(a) \( \frac{\pi^{2}}{4}-2 \)
(b) \( \frac{\pi^{2}}{4}+2 \)
(2016 Adv.)
P
(c) \( \pi^{2}-e^{-\pi / 2} \)
(d) \( \pi^{2}+e^{\pi / 2} \)
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