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Question

If for a real number y, [y] is the greatest integer less than or equal to y, then value of the integral 3π2π2[2 sinx] dx, is

A
π
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B
0
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C
π2
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D
π2
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Solution

The correct option is C π2
I=5π6π2(1)dx+π5π60.dx+7π6π(1)dx+3π27π6(2)dx
=(5π6π2)+0(7π6π)2(3π27π6)
I=π2

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