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

#### Denisse

1. The problem statement, all variables and given/known data

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

∫[dx]/[(1-X^2)√((x^2)-3x+2)]

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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#### 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.

• Helmunt

#### FeDeX_LaTeX

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

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