The value of $\int\limits_{ - \pi }^\pi {{{{{\cos }^2}} \over {1 + {a^x}}}dx,\,\,a > 0,} $ is - DASH

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Question

The value of $\int\limits_{ - \pi }^\pi {{{{{\cos }^2}} \over {1 + {a^x}}}dx,\,\,a > 0,} $ is

$a\,\pi $

${\pi \over 2}$

${\pi \over a}$

${2\pi }$

Solution

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