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JEE Math Practice Question

The value of the integral, $$\int\limits_1^3 {[{x^2} - 2x - 2]dx} $$, where [x] denotes the greatest integer less than or equal to x, is :

  1. A.$$-$$ 5
  2. B.$$ - \sqrt 2 - \sqrt 3 + 1$$
  3. C.$$-$$ 4
  4. D.$$ - \sqrt 2 - \sqrt 3 - 1$$

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