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intsqrt((x-1)/(x))dx=...

`intsqrt((x-1)/(x))dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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