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Trigonomic Integration question!

  1. Feb 5, 2009 #1
    1. The problem statement, all variables and given/known data
    Sorry for the lack of latex.

    The question is this.

    Integral of ((1+x)/(1+(x^2))) dx

    If someone could put that together on latex, that would be awesome!


    3. The attempt at a solution
    Im not exactly sure what to do, at all. So really any help is great. Even just a hint and I will probably get it. Thanks!
     
  2. jcsd
  3. Feb 5, 2009 #2

    Mark44

    Staff: Mentor

    Split into two integrals.
    [tex]\int \frac{1 + x}{1 + x^2}dx[/tex]
    [tex]= \int \frac{1}{1 + x^2} dx + \int \frac{x}{1 + x^2} dx [/tex]

    The first is pretty straightforward. The second requires only an ordinary substitution.
     
  4. Feb 5, 2009 #3
    ((1+x)/(1+(x^2))) dx = (1/(1+(x^2)) dx+(x)/(1+(x^2)) dx

    Yes, first part is trigonometric and second is log..
     
  5. Feb 5, 2009 #4
    Do you mean

    [tex]

    \int \frac{1 + x} {1 + x^2} dx

    [/tex]

    Re-write the integrand as two terms
     
  6. Feb 5, 2009 #5
    lol, thanks.
     
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