I have an example I want to clearify,(adsbygoogle = window.adsbygoogle || []).push({});

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

[PLAIN]http://img6.imageshack.us/img6/7467/unledpcv.jpg [Broken]

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# Analytic functions and integration

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