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Math Help - Complex Analysis: cauchy's theorem

  1. #1
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    Complex Analysis: cauchy's theorem

    Hello,

    I have a problem with the following exercise:

    Use one of the consequences of Cauchy's Theorem to evaluate

    (i) \int e^z dz when B:z=e^(it) (0<=t<=pi)

    Can I said that B is a contour in C. The region C is simply-connected and Cauchy's theorem can be used.

    So \int e^z dz=0

    Is it right?
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  2. #2
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    Quote Originally Posted by rickgoz View Post
    Hello,

    I have a problem with the following exercise:

    Use one of the consequences of Cauchy's Theorem to evaluate

    (i) \int e^z dz when B:z=e^(it) (0<=t<=pi)

    Can I said that B is a contour in C. The region C is simply-connected and Cauchy's theorem can be used.

    So \int e^z dz=0

    Is it right?
    B is not a closed contour ....
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