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Integration problem

  1. Nov 26, 2007 #1
    1. The problem statement, all variables and given/known data
    Compute the following antiderivative [tex] \int \frac {(2x+1)}{ (x^2+1)} d \ x[/tex]


    2. Relevant equations



    3. The attempt at a solution
    I tried a method using using substitution of u = x^2+1, but i think this is approaching the question in the complete wrong way. I think maybe some kind of trigonometric function comes into it but i'm not sure which. Thanks in advance for any assistance
     
  2. jcsd
  3. Nov 26, 2007 #2
    Both are needed, but only after you split the fraction

    [tex]\frac {(2x+1)}{ (x^2+1)}[/tex] as [tex]\frac {2x}{ (x^2+1)} + \frac {1}{ (x^2+1)}[/tex]
     
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