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Math Help - Integration of an analytic function

  1. #1
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    Integration of an analytic function

    I have an example I want to clearify,

    Let C be a semicircle from 2 to -2 which passes through 2i and let T be a semicircle from 2 to -2 which passes through -2i.

    If you take the integral of z^2 dz around both paths the is the same as the function is analytic so the integral is independant of the path,

    However if you take the integral of the conjugate of z over these to paths you get

    So they equal, but the f(z)=conjugate of z isnt an analytic function, is it just a coincidence?

    Solved!
    Last edited by Angela11; October 18th 2011 at 02:26 AM.
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