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JEE Math Practice Question

$$\int_{ - \pi }^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}}} dx$$ is

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

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