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Substitution Integration

  1. May 31, 2009 #1
    1. The problem statement, all variables and given/known data

    ∫1/(x^2+2x+2) dx


    2. Relevant equations



    3. The attempt at a solution

    u = x^2+2x+2
    du = 2dx(x+1)

    But I am left with an x and can not find the antiderviative
     
  2. jcsd
  3. May 31, 2009 #2

    Pengwuino

    User Avatar
    Gold Member

    Try the substitution u = x+1.
     
  4. Jun 1, 2009 #3

    Mark44

    Staff: Mentor

    Using the substitution suggested by Pengwuino, you should get
    [tex]\int \frac{du}{u^2 + 1}[/tex]

    Hopefully you know an antiderivative for this integral.
     
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