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

  • Thread starter Denisse
  • Start date
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
 
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

Gold Member
436
13
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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