int\ (x+1)/(x(1+x \ e^x)^2) \ dx equals...

`int\ (x+1)/(x(1+x \ e^x)^2) \ dx` equals

A

`log [(xe^x )/(xe^x +1)]+(1)/(1+xe^x)`

B

`log [(xe^x )/(xe^x +1)]+(1)/(1+x)`

C

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

D

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

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The correct Answer is:

A

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