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Integral that MAPLE could not evaluate

  1. Jan 12, 2010 #1
    I have attached a pdf of output from MAPLE attempting to evaluate an integral of an exponential function containing a complex irrational trig function as the exponent. MAPLE could not evaluate it when integrating with respect to the hangle phi. I then transformed the integral via varible substitutions to hopefully get it in a form that might be executable, but no luck there either.

    Any suggestions?

    This integral is a portion of a solution of a radiation wave emanating in the vicinity of source that is configured as a disc.

    Attached Files:

  2. jcsd
  3. Jan 12, 2010 #2


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    That looks to me like a variation on an elliptic integral.
  4. Jan 13, 2010 #3
    There is no reason to think this integral has a closed form evaluation.
  5. Jan 19, 2010 #4
    Is g_edgar suggesting that this integral can only be evaluated numerically for specific values for r & theta?
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