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JEE Math Practice Question

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

  1. A.$$a\,\pi $$
  2. B.$${\pi \over 2}$$
  3. C.$${\pi \over a}$$
  4. D.$${2\pi }$$

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