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Thread: Complex Analysis: Line Integrals

  1. #1
    Oct 2009
    United States

    Complex Analysis: Line Integrals

    I have a problem as follows:
    Let \gamma=\beta+[e^2\pi,1] where \beta is given by \beta(t)=e^{t+it} for 0\leq t\leq 2\pi. Evaluate \int_\gamma z^{-1} dz .

    I know that I need to parameterize the path and I have come up with the path as [e^2\pi,1]. I also know that I need to integrate this problem along the path and then integrate the function and add the parts together. However, I can't seem to come up with the right way to accomplish this task. I will appreciate your help. Thank you.
    Last edited by Opalg; Oct 13th 2011 at 12:36 AM. Reason: fixed TeX
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