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Question

Let J=10x1+x8 dx.
Consider the following assertions:
I. J>14

II. J<π8
Then

A
Only I is true
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B
Only II is true
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C
Both I and II are true
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D
neither I nor II is true
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Solution

The correct option is A Only I is true
For 0<x<1
x4>x81+x4>1+x811+x4<11+x8x1+x4<x1+x810x1+x4 dx<10x1+x8 dxJ>10x1+x4 dxJ>π8>14

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