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Question

Let I1=10ex1+xdx and I2=10x2dxex3(2x3). Value of 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 D 3e
I2=13103x2dxex3(2x3), substituting t=x3
I2=1310dtet(2t) Substituting t=1z
then I2=1310dze1z(1+z)=13e10ezdz(z+1)
I1I2=3e

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