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Math Help - Path Integral in the Complex Plane

  1. #1
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    Path Integral in the Complex Plane

    Hi,

    I am trying to take a path integral in the complex plane of

    sin(z)/[(z^2)*((z^2)+4)]

    over the positively oriented circle of radius 1 centered at the origin. I thought that I was supposed to plug in z=e^(it) for z, multiply by its derivative and then integrate but I am having trouble integrating it. Am I doing it wrong?

    Thanks,

    grod
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  2. #2
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    Re: Path Integral in the Complex Plane

    Quote Originally Posted by grod View Post
    Hi,

    I am trying to take a path integral in the complex plane of

    sin(z)/[(z^2)*((z^2)+4)]

    over the positively oriented circle of radius 1 centered at the origin. I thought that I was supposed to plug in z=e^(it) for z, multiply by its derivative and then integrate but I am having trouble integrating it. Am I doing it wrong?

    Thanks,

    grod
    I expect you need to put t = 0 and t = 2pi as your limits of integration...
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  3. #3
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    Re: Path Integral in the Complex Plane

    right, other than that am I approaching the problem correctly?
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