1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integration of a fraction

  1. Jan 3, 2012 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    No idea

    3. The attempt at a solution

    I tried this by the subsitution method but that attempt was feeble as it only complicated the integral even further.
    let t=x^2-x+1

    this integral can neither be split into partial fractions.

    I have no idea how to proceed forward.
  2. jcsd
  3. Jan 3, 2012 #2


    User Avatar
    Science Advisor

    Write (x^2 - x +1) as (x-1/2)^2 +3/4. Then make the substitution u=x-1/2. Now the integrand is in the form of 1/(u^2 + a^2), which hopefully you know how to do with a trigonometric substitution.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook