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Indefinite integral

  1. Jul 25, 2007 #1
    Hi, here is the question
    integrate x^3/(x^5-1)
     
  2. jcsd
  3. Jul 25, 2007 #2
    Hi, here is the answer:

    (2 Sqrt[2 (5 + Sqrt[5])]

    1 - Sqrt[5] + 4 x
    ArcTan[---------------------] +
    Sqrt[2 (5 + Sqrt[5])]

    2 Sqrt[10 - 2 Sqrt[5]]

    1 + Sqrt[5] + 4 x
    ArcTan[--------------------] +
    Sqrt[10 - 2 Sqrt[5]]

    4 Log[-1 + x] +

    (-1 + Sqrt[5])

    (-1 + Sqrt[5]) x 2
    Log[1 - ---------------- + x ] -
    2

    (1 + Sqrt[5])

    (1 + Sqrt[5]) x 2
    Log[1 + --------------- + x ]) / 20
    2


    Edit: The format didn't come out too well. Go to http://integrals.wolfram.com/index.jsp and do it yourself.
     
  4. Jul 25, 2007 #3
    hi, thanks. I have the answer but wonder how to solve it without using calculator. Sorry if I wasn't clear.
     
  5. Jul 25, 2007 #4
    Does it look like it would be easy?

    My advice- leave it to Mathematica unless you have a pathological interest in doing near-impossible integrals (like GibZ).
     
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