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Question

lf 0sinxxdx=π2, then 0sin3xxdx equals

A
π6
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B
π3
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C
π2
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D
π4
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Solution

The correct option is D π4
0sinxxdx=π2
0sin3xxdx
sin3x=3sinx4sin3x
sin3x=3sinxsin3x4
sin3x=1403sinxxdx0sin3x3xd(3x)
=14(3π2π2)=π4
Hence, option D.

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