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Q.

I1=012x2dx,I2=012x3dx, I3=122x2dx,I4=122x3dx then 

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a

I1>I2

b

I3>I4

c

I2>I1

d

I3=I4

answer is A.

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Detailed Solution

I1=012x2dx, I1=012x3dx I3=022x2dx, I4=022x3dx Since 0 < x < 1        x2>x3       2x2>2x3       012x2>012x3dx       I1>I2 and 1<x<2  x2<x3       2x2<2x3       122x2dx<122x2dx       I3<I4

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