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The value of the integral ∫ − + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π 2 2 2 dx 2 1 x x sin (where [x] denotes the greatest integer less than or equal to x) is

1. 0
2. 4
3. 4 – sin 4
4. sin 4

Correct answer: 0

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