Originally Posted by

**flashylightsmeow** Hi there, I'm having some difficulty with the following problem:

Integrate: $\displaystyle \int \frac{\sqrt{t-1}}{t-2}dt$ using u=$\displaystyle \sqrt{t-1}$

I've found that the denominator = $\displaystyle u^2-1$ and

$\displaystyle \frac{1}{2(t-1)^\frac{1}{2}}dt = \frac{1}{2u}$ and therefore $\displaystyle dt=2u\ du$

But am not sure if I'm on the right track and where to go from there, because any progress I've made doesn't give me the answer in the back of the book.