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The value of the integral int(log(x+1)-...

The value of the integral `int(log(x+1)-logx)/(x(x+1))dx` is

A

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

B

`(-1)/(4)(log|(x+1)/(x)|)^2+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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