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int "log " sqrt(x + 1 ) dx =...

`int "log " sqrt(x + 1 )` dx =

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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