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Homework Help: Integration using partial fractions?

  1. Sep 23, 2010 #1
    1. The problem statement, all variables and given/known data

    find the integral of (1 + 2x)/(1+x^2)

    2. Relevant equations



    3. The attempt at a solution

    I honestly have no idea how to solve this and have spent ages trying to figure it out. I would automatically assume using partial fractions to solve but the denominator presents a problem there were it cannot take a form of a partial fraction. substitution does not work either. So if anyone has worked with a problem type like this before your advice would b greatly appreciated even a hint woud b awesome :)
     
  2. jcsd
  3. Sep 23, 2010 #2
    I seem to remember that if you have [tex]\frac{1+2x}{1+x^2}[/tex]

    That its possible split this up

    thusly getting [tex]\frac{1}{1+x^2} + \frac{2x}{1+x^2}[/tex]

    That fact should be userable here :)
     
    Last edited: Sep 23, 2010
  4. Sep 23, 2010 #3
    thanks suz! i will try n crack this thing now :D
     
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