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int(x+1)/(x(xe^(x)+1)^(2))dx =...

`int(x+1)/(x(xe^(x)+1)^(2))dx =`

A

`log ((xe^(x))/(1+e^(x)))- 1/(1+xe^(x))`

B

`log ((1+e^(x))/(xe^(x)))+ 1/(1+xe^(x))`

C

`log ((xe^(x))/(1+e^(x)))+ 1/(1+xe^(x))`

D

`log ((1+e^(x))/(xe^(x)))- 1/(1+xe^(x))`

Text Solution

Verified by Experts

The correct Answer is:
C
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