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int (log (1+(1)/(x)))/(x(1+x))dx=...

`int (log (1+(1)/(x)))/(x(1+x))dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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