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Homework Help: Integral question

  1. May 4, 2010 #1
    integral of x/x2 +2x+2

    so the first thing i did was complete the square which gave me

    integral of x/(x-1)2+1

    then i tried substituting by w=x-1 and dw = dx but that leaves the x on the top.

    what am i not seeing?
     
  2. jcsd
  3. May 4, 2010 #2
    [tex] \frac{x}{x^2} + 2x +2 = \frac{1}{x} +2x +2 [/tex]

    Just do each of those separately.
     
  4. May 4, 2010 #3
    my bad its x/(x2+2x+2)

    not x/x2+2x+2
     
  5. May 4, 2010 #4
    Try trigonometric substitution after completing the square. You completing the square is wrong btw, it should be a +.
     
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