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Math Help - complex integral, please check

  1. #1
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    complex integral, please check

    I have to calculate this integral \int_{ \beta }^{} |z|dz

    when \beta = [-i,i]

    so

    \gamma (t)= -i + ti, t \in [0,2]

    \int_{0}^{2} |-i+ti|idt = i \int_{0}^{2}  \sqrt{(t-1)^2} dt = i \int_{0}^{2} |t-1| dt = i (\int_{1}^{2} (t-1) dt - \int_{0}^{1} (t-1) dt ) = ...

    correct?
    Last edited by fqqs; May 27th 2012 at 03:05 AM.
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  2. #2
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    Re: complex integral, please check

    Which contour are you integrating over?
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  3. #3
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    Re: complex integral, please check

    not contour, straight line from -i to i
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    Re: complex integral, please check

    uppp
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  5. #5
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    Re: complex integral, please check

    upppp
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