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

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

A

`1/(1+x e^x)+C`

B

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

C

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

D

`x(e^x+1)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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KC SINHA-INDEFINITE INTEGRALS - FOR COMPETITION-Exercise
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