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

  1. Nov 26, 2016 #1
    • Member warned that homework questions must be posted in a homework forum
    I know integral of (2x+1)/(x^2+x).
    but i don't know integral of (x^2+x)/(2x+1).
    I'm very curious...
    plz answer me...
  2. jcsd
  3. Nov 26, 2016 #2


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    Staff: Mentor

    What (rules) do you know about integration?
  4. Nov 26, 2016 #3


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    Split the integrand into manageable pieces.
    [itex] \frac{x^2+x}{2x+1}[/itex]=[itex]\frac{x^2+\frac{x}{2}}{2x+1}+\frac{x}{4x+2}[/itex]=[itex]\frac{x}{2}+\frac{x+\frac{1}{4}}{4x+2}-\frac{1}{16x+8}[/itex]=[itex]\frac{x}{2}+\frac{1}{4}-\frac{1}{16x+8}[/itex]
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