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Question

lf I1=102x2dx,I2=102x3dx, I3=212x2dx andI4=212x3dx, then

A
I1>I2
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B
I2>I1
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C
I3>I4
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D
I1>I3
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Solution

The correct option is A I1>I2
I1=102x2dx; I2=102x3dx;I3=212x2dx
I4=212x2dx
If baf(x)>bag(x) then we know that f(x)>g(x) in [a,b]
So, 2x3[1,2]>2x2[1,2]>2x2[0,1]>2x3[0,1]
I4>I3>I1>I2
So, checking the relation
I1>I2 is only correct.

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