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Help with integral

  1. Oct 7, 2008 #1
    I really have no idea how to do this, please show some steps.

    [tex]\int arg(x^{ix} + x^{-ix}) dx [/tex]
     
  2. jcsd
  3. Oct 7, 2008 #2

    Dick

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    If x is real the exp(ix)+exp(-ix) is real. Why? What is arg of a real number? Are you sure that's the whole problem?
     
  4. Oct 7, 2008 #3
    I'm pretty sure that when x is real, the inside does not necessarily equal a real number. I'm looking at the graph right now and y = arg(...) is not zero, and also this isn't homework.
     
  5. Oct 7, 2008 #4

    Dick

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    Hmm. Ok, what is x? Do they give you a contour to integrate along? It's pretty tricky to define the general complex power of a complex number.
     
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