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The indefinite integral inte^(e^(x))((xe...

The indefinite integral `inte^(e^(x))((xe^(x).lnx+1)/(x))dx` simplifies to (where, c is the constant of integration)

A

`x ln (lnx)+c`

B

`e^(e^(x))+c`

C

`e^(e^(x))/(x)+c`

D

`e^(e^(x)). Ln x+c`

Text Solution

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The correct Answer is:
D
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