Integrating (x-5)/√(x-6) with u-Substitution

[tasveerk]

Homework Statement

Solve with u-substitution
∫ (x-5)/√(x-6) dx

Homework Equations

The Attempt at a Solution

This is what I have done so far and it doesn't seem to work out. I have a feeling I'm missing something. Any help would be appreciated.
u=x-6
du=dx
x=u+6
∫ (u+6-5)(u^(-1/2) du
∫ u^(1/2) + u^(-1/2) du

 

[Dick]

You were doing just fine until your nerve failed. What's the integral of u^(1/2)du and u^(-1/2)du?