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Help Evaluating an Integral

  1. Mar 20, 2008 #1

    cepheid

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

    Can you give me a strategy or get me started in the right direction?

    I need to evaluate:

    [tex] \int_{x_1}^{x_2} (E-\alpha |x|^{\nu})^{\frac{1}{2}} \,dx [/tex]

    2. Relevant equations

    [tex] \nu > 0 [/tex]

    x1 and x2 are known in terms of E, alpha, and nu

    3. The attempt at a solution
     
    Last edited: Mar 20, 2008
  2. jcsd
  3. Mar 20, 2008 #2

    cepheid

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    okay I fixed a crucial mistake (forgetting the dx). I wonder if that will help, now that you know what variable I'm supposed to be integrating wrt.
     
  4. Mar 22, 2008 #3

    dextercioby

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    For arbitrary [itex] \nu [/itex] it's typically an elliptic integral.
     
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