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The integral int (1+x-(1)/(x))e^(x+(1)/(...

The integral `int (1+x-(1)/(x))e^(x+(1)/(x))dx` is equal to :

A

`(x+1).x^((x+x^(-1)) +c`

B

`(x-1).x^((x+x^(-1)) +c`

C

`-xe^((x+x^(-1)) +c`

D

`x.e^(x+x^(-1)) +c`

Text Solution

Verified by Experts

The correct Answer is:
D
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