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JEE Math Practice Question

The value of the integral $$\int\limits_{ - 2}^2 {{{{{\sin }^2}x} \over { \left[ {{x \over \pi }} \right] + {1 \over 2}}}} \,dx$$ (where [x] denotes the greatest integer less than or equal to x) is

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

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