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JEE Math Practice Question

The value of the integral $$\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}} $$ is equal to

  1. A.2$$\pi$$
  2. B.0
  3. C.$$\pi$$
  4. D.$${\pi \over 2}$$

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