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Question

If I=10sin xxdx and J=10cosxxdx, then, which one of the following is true?

A
I>23 and J>2
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B
I<23 and J<2
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C
I<23 and J>2
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D
I>23 and J<2
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Solution

The correct option is B I<23 and J<2
Since, I=10sinxxdx<10xxdx,
( xϵ(0,1),x>sin x)
I<10xdx=23[X32]10
I<23
and J=10cosxxdx<10x12dx=2
J<2

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