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

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

A

`(e^(x) + 2)(e^(x) + 1) + C`

B

`log((e^(x) + 1)/(e^(x) + 2)) + C`

C

`(1)/(2) log ((e^(x) + 1)/(e^(x) + 2)) + C`

D

`log ((e^(x) + 2)/(e^(x) + 1)) + C`

Verified by Experts

The correct Answer is:

B

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