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Thread: Complex Domains and Paths

  1. October 14th 2010, 07:16 PM #1
    mathmaniac234
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    Complex Domains and Paths

    Find all possible values of

    \int_{\gamma } \frac{1}{1+z^2}dz where \gamma is some path joining 0 to 1 which is in the domain of f(z) = \frac{1}{1+z^2}.

    Any help would be great. Thanks!
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  2. October 15th 2010, 07:31 AM #2
    KatyCar
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    Would the idea of independence of path help in this situation?
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