The value of int(1)/(x+sqrt(x-1))dx, is...

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

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))+c`

D

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

Text Solution

Verified by Experts

The correct Answer is:

C

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