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JEE Math Practice Question

$$\int\limits_{ - \pi }^\pi {\left| {\pi - \left| x \right|} \right|dx} $$ is equal to :

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

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