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Math Help - Integrating in the cylindrical coordinate system

  1. #1
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    Integrating in the cylindrical coordinate system

    Hi everyone please see the problem below:


    Im trying to learn how to evaluate 3a. NOTICE: ap is a vector(boldfaced). My prof vagely mentioned something about not being able to integrate directly since as the direction of phi chances so does the direction ap. I know this seems unclear as this has me confused aswell and i cant find any information in my text regarding this. Can someone please help me understand how to integfrate this?

    (p, phi , z)
    p = radial distance from z-axis
    phi = angle in radians meansured from "x-axis"
    z=z as in cartesian.

    Thank you!
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  2. #2
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    Re: Integrating in the cylindrical coordinate system

    I should also add, this has applications in field Theory or Electromagnetics if that help clarify the question.
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  3. #3
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    Re: Integrating in the cylindrical coordinate system

    Is anyone able to suggest anything I can read for the above problem?
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  4. #4
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    Re: Integrating in the cylindrical coordinate system

    Not without knowing what a_\rho is!
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  5. #5
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    Re: Integrating in the cylindrical coordinate system

    Quote Originally Posted by HallsofIvy View Post
    Not without knowing what a_\rho is!
    ap is the vector pointing in the p direction, where:
    (p, phi , z)
    p = radial distance from z-axis
    phi = angle in radians meansured from "x-axis"
    z=z as in cartesian.
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  6. #6
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    Re: Integrating in the cylindrical coordinate system

    Is anyone able to suggest anything I can read for the above problem?
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