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How to find int_0^1 (x^3 + 2ax^2)/(2+x)dx where a is constant

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


    [tex]\int_0^1 \frac{x^3+2ax^2}{2+x}[/tex]

    where a is constant

    2. Relevant equations

    3. The attempt at a solution

    I havent a clue how to start . can someone give me a hint please?
  2. jcsd
  3. Feb 1, 2010 #2


    Staff: Mentor

    Re: integration

    Divide x3 + 2ax2 by x + 2. You'll get a quadratic polynomial + constant/(x + 2).
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