JEE Math Practice Question
The value of $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^{2} \cos x}{1+e^{x}} d x$ is equal to
- A.$\frac{\pi^{2}}{4}-2$
- B.$\frac{\pi^{2}}{4}+2$
- C.$\pi^{2}-e^{\frac{\pi}{2}}$
- D.$\pi^{2}+e^{\frac{\pi}{2}}$
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