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Math Help - Complex Integration

  1. #1
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    Sep 2007
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    Complex Integration

    Integrate Complex Integration-screenshots_2013-08-15-16-44-25.pngby differentiating Cauchy's integral formula Complex Integration-02.png.
    ===============

    I did so far:
    Complex Integration-2013-08-15-17-31-52.png
    Complex Integration-2013-08-15-17-31-27.png


    Is my approach right? But I am confused about the limits of the integral. Should I check the contour first, that whether the point inside or not?

    Please help me.
    Attached Thumbnails Attached Thumbnails Complex Integration-0_vfqlsqg6umzyoz4ejxkp0yypvaxy4m14y126n6rs8.png  
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