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

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

A

`1/3log|(e^x-1)/(e^x+2)|+c`

B

`1/2log|(e^x+1)/(e^x-2)|+c`

C

`1/5log|(e^x-1)/(e^x+2)|+c`

D

`1/6log|(e^x-1)/(e^x+2)|+c`

Verified by Experts

The correct Answer is:

A

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