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Quick question with the antederivative

  1. Dec 13, 2006 #1

    ddr

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    hi!
    who help me to find the antiderivative of:

    (x^3 + 3x^2)/(x^2 + 4x + 4)

    thanks
     
  2. jcsd
  3. Dec 13, 2006 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    You sure this is not homework?

    First divide so that you have p(x)+ (Ax+ B)/x^2+ 4x+ 4): a polynomial plus a linear term over x^2+ 4x+ 4. You should be able to integrate the polynomial easily. Now use the fact that x^2+ 4x+ 4= (x+2)^2 and partial fractions.
    (I just did the division myself: Ax+ B is simple enough that you don't need partial fractions!)
     
    Last edited: Dec 13, 2006
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