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Math Help - green theorem or stokes????

  1. #1
    n22
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    green theorem or stokes????


    Hi,I dont think this is the normal integral.
    Please help with approach.thanks.i get confused btwn greens and stokes which is it?
    ∫(x-2xy)dx+(xy+3)dy where c is boundary of region defined by y^2=8x and x=2 traversed in counterclockwise direction.
    Thanks.
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  2. #2
    MHF Contributor
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    Re: green theorem or stokes????

    Hey n22.

    Since this is a line integral, you need to parameterize the curve first and then use the results of vector calculus for line integrals:

    Vector calculus identities - Wikipedia, the free encyclopedia
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  3. #3
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    Re: green theorem or stokes????

    Green's theorem is for plane areas while stokes is for general surface, which make green's theorem a special case of stokes'theorem. both relates the surface integral of functions to line integral of the line that encompasses that surface.
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    Thanks from n22
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