JEE Math Practice Question
If the value of the integral $$\int\limits_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{x^2 \cos x}{1+\pi^x}+\frac{1+\sin ^2 x}{1+e^{\sin x^{2123}}}\right) d x=\frac{\pi}{4}(\pi+a)-2$$, then the value of $$a$$ is
- A.$$-\frac{3}{2}$$
- B.3
- C.$$\frac{3}{2}$$
- D.2
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