The value ofint 1/(x+sqrt(x-1)) dx =...

The value of`int 1/(x+sqrt(x-1)) dx =`

A

`log(x+sqrt(x-1)+sin^(-1) (sqrt((x-1)/(x)) +c`

B

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

C

`log(x+sqrt(x-1)-(2/sqrt3)tan^(-1)((2sqrt(x-1)+1)/(sqrt3))+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

C

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