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Homework Help: Parabolic cylindrical coordinates

  1. Nov 18, 2005 #1
    Can someone, please, show me an example of when you are better of with parabolic cylindrical coordinates than with cartesian coordinates when computing a triple integral over a solid?
  2. jcsd
  3. Nov 18, 2005 #2
    Things with symmetry around an axis, like a cylinder. Try this one with cartesian coordinates, then try it with cylindrical coordinates.

    [tex] \int_{-2}^{2} \int_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}} \int_{\sqrt{x^2+y^2}}^{2} \,\,\,(x^2+y^2)\,\,dz\,dy\,dx [/tex]
    Last edited: Nov 18, 2005
  4. Nov 18, 2005 #3

    D H

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    That works great in (circular) cylindrical coordinates, but not in parabolic cylindrical coordinates.
  5. Nov 18, 2005 #4
    :blushing: hehe... sorry man.
    I must have read it too quickly. Honestly, I've never worked in parabolic cylindrical coordinates.

    have a good one :smile:
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