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Math Help - [SOLVED] Complex integral

  1. #1
    MHF Contributor arbolis's Avatar
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    [SOLVED] Complex integral

    I must calculate \int _1^3 (z-2)^3 dz where the path is an arbitrary contour between the limits of integration.

    I simply calculated the integral as if z was a real variable in order to get that it's worth 0.
    Am I right?
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  2. #2
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    You can use antiderivatives because the integrand is analytic and single-valued over the contour.
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    Quote Originally Posted by arbolis View Post
    I must calculate \int _1^3 (z-2)^3 dz where the path is an arbitrary contour between the limits of integration.

    I simply calculated the integral as if z was a real variable in order to get that it's worth 0.
    Am I right?
    Yes. The function has an indefinite integral, so all you need to do is to evaluate that at the two ends of the path.
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