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Contour Integrals

  1. Jan 18, 2010 #1
    1. The problem statement, all variables and given/known data
    If f(z) is analytic on and inside |z|=1, show [tex]\int_{0}^{2\pi} e^{i \theta}f(e^{i \theta}) d\theta = 0[/tex]

    2. Relevant equations

    Cauchy's theorem: [tex]\oint f(z)dz=0[/tex]

    3. The attempt at a solution

    I'm not really sure what to do here except setting [tex]z=e^{i\theta}[/tex] and plugging in, but then i dont know what to do with the [tex]d\theta[/tex] or how to make it look more like Cauchy's theorem :-\
  2. jcsd
  3. Jan 18, 2010 #2


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    If z=e^(i*theta), what's dz?
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