The value of $$\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^2 \cos x}{1 + e^x}dx$$ is equal to

A

$$\frac{\pi^2}{4} - 2$$

B

$$\frac{\pi^2}{4} + 2$$

C

$$\pi^2 - e^{\frac{\pi}{2}}$$

D

$$\pi^2 + e^{\frac{\pi}{2}}$$