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JEE Math Practice Question

If [x] denotes the greatest integer less than or equal to x, then the value of the integral $$\int_{ - \pi /2}^{\pi /2} {[[x] - \sin x]dx} $$ is equal to :

  1. A.$$-$$ $$\pi$$
  2. B.$$\pi$$
  3. C.0
  4. D.1

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