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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
${\pi \over 2}$
${{5\pi } \over 4}$
${{3\pi } \over 4}$
${{3\pi } \over 2}$

Solution

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