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The value of ∫ π π − + + 2 / 2 / 4 ] x [sin ] x [ dx , where [t] denotes the greatest integer less than or equal to t, is -

1. ) 5 7 ( 12 1 − π
2. ) 5 7 ( 12 1 + π
3. ) 3 4 ( 10 3 − π
4. ) 3 4 ( 20 3 − π

Correct answer: ) 3 4 ( 20 3 − π

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