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Math Help - Cauchy's Integral theorem

  1. #1
    Junior Member
    Joined
    Mar 2010
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    37

    Cauchy's Integral theorem

    Quick question

    im trying to calculate the integral around the closed curve C of

    z(bar) dz where z(bar) is the complex conjugate of z

    where C is the unit circle.

    Using the subsitution z = e^it i calculated the integral to be 0.
    => z(bar) = e^-it

    However after finding the question in a maths book the answer is given to be 2pi(i).

    Can any of ye tell me which solution is correct
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  2. #2
    Super Member
    Joined
    Aug 2008
    Posts
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    \mathop\oint\limits_{z=e^{it}}\overline{z}dz=\int_  0^{2\pi}e^{-it}ie^{it}=2\pi i
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