JEE Math Practice Question
The value of $$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}}} \right)} \,dx$$ is
- A.$${\pi \over 2}$$
- B.$${{5\pi } \over 4}$$
- C.$${{3\pi } \over 4}$$
- D.$${{3\pi } \over 2}$$
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