Integrate 1/(x-1)(sqrt(x^2-3x+2))

[Denisse]

Homework Statement

How can I integrate this? I already tried substitution u=x-1 and partial fractions.

∫[dx]/[(1-X^2)√((x^2)-3x+2)]

Homework Equations

The Attempt at a Solution

 

[Karnage1993]

How I'd start would be to first complete the square inside the square root, then do a trigonometric substitution of $\displaystyle x - \frac{3}{2} = \frac{1}{2} \sec x$. Try it out and see what you get.

 

[FeDeX_LaTeX]

The integral in your thread title and the integral in your post are different. Which one do you need help with?