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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

`-log((x+1)/(x))+c`

B

`log[log(x+1)]-log(logx)+x`

C

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

D

`e^(x)[(1)/(x)-(1)/(x+1)]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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