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Integration Question

  1. May 13, 2009 #1
    1. The problem statement, all variables and given/known data
    Integrate the following: ∫[1/(x^2 - 2x + 4)]dx



    2. Relevant equations
    ∫[1/(x^2 + a^2)]dx = [1/a](arctan(x/a)) + C


    3. The attempt at a solution

    Let A = x^2 - 2x + 4 = x^2 - 2x + 1 + 3
    = (x - 1)^2 + (√3)^2

    So ∫[1/A]dx = [1/√3]arctan[(x-1)/√3] + C

    Is this correct?

    Thanks for any help
     
  2. jcsd
  3. May 13, 2009 #2

    gabbagabbahey

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    Homework Helper
    Gold Member

    Looks good to me :smile:
     
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