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Thread: stocks integral

  1. #1
    MHF Contributor
    Nov 2008

    stocks integral

    _{c}\oint F*dr=_{\sigma}\iint(curlF)nds
    $ is a part of a paraboloid $\displaystyle z=4-x^2-y^2$ where z>=0
    on the x-y plane our paraboloid is 4=x^2+y^2
    and the parametric view of it is:
    x=2cost y=2sint z=0

    so we get
    _{c}\oint F*dr= (2z)dx+(3x)dy+(5y)dz

    i cant understand the next step$\displaystyle

    _{c}\oint F*dr= (2z)dx+(3x)dy+(5y)dz=\intop_{0}^{2\pi}[0+(6cost)(2cost)+0]dt
    Last edited by transgalactic; May 11th 2011 at 02:22 PM.
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