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Question

Let I1=10exdx1+x and I2=10x2dxex3(2x3).

Then I1I2 is equal to?

A
3e
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B
e3
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C
3e
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D
13e
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Solution

The correct option is C 3e
In I2=10x2dxex3(2x3)
Substitute 1x3=t3x2dx=dt
We get I2=1301dte1t(1+t)=13e10etdt1+t=13e10exdx1+x
As I1=10exdx1+x
Therefore I1I2=3e

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