Q .     The integral `\int (1+x- \frac{1}{x})e^{x+\frac{1}{x}}` dx is equal to

JEE 2014 Mains Paper - 5
A

`(x-1)e^{x+ \frac{1}{x}} +c`

B

`xe^{x+\frac{1}{x}} +c`

C

`(x+1)e^{x+\frac{1}{x}} +c`

D

`-xe^{x+\frac{1}{x}} +c`

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