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JEE Math Practice Question

The value of $$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx} $$ is:

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

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