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JEE Math Practice Question

The value of the integral $$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx} $$ is :

  1. A.$${{{\pi ^2}} \over {6\sqrt 3 }}$$
  2. B.$${{{\pi ^2}} \over 6}$$
  3. C.$${{{\pi ^2}} \over {3\sqrt 3 }}$$
  4. D.$${{{\pi ^2}} \over {12\sqrt 3 }}$$

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