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Integration problem with e^(ix)

  1. Sep 5, 2011 #1
    So I basically want to integrate this expression

    [itex]\int\sqrt{1 - e^{(aix)}}[/itex]

    where a is some general term and i = [itex]\sqrt{-1}[/itex]

    I thought maybe of converting it to a single complex number in polar form and then just halfing the angle to get rid of the root, but i really have no idea how to go about this problem.
     
  2. jcsd
  3. Sep 5, 2011 #2
    Just treat the complex constant as just a regular constant, say call it k=ia and when you finally get the answer, back-subsitute what k is. Then write:

    [tex]\int \sqrt{1-e^{kx}}[/tex]

    You can do that huh? Takes several substitutions unless someone has a better way. So what happens if you start the first one by letting:

    u=1-e^{kx}
     
    Last edited: Sep 5, 2011
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