Definite Integral with tricky deniminator

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kf00zy
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Homework Statement



I attached problem as a picture.

Homework Equations



I know that the integral of 1/x equals lnx if the derivative of the denominator is equal to the numerator.

The Attempt at a Solution



I tried to foil out the denominator and integrate by parts but it was very difficult. Is there an easier way?
 
Attachments
  • Definite integral from 1 to 2 of (2x - 1) divided by (x^2 - x + 1) cubed, dx.
    Screen Shot 2012-11-25 at 11.04.19 AM.png
    1.3 KB · Views: 497
There is a much easier way. Try a substitution.
 
Haha, forgot about substituting.. clearly my calculus is rusty. Thanks!