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Stokes Theorem

  1. Dec 1, 2011 #1
    1. The problem statement, all variables and given/known data
    Use stoke's theorem to calculate integral of F dot dr over C where F(x,y,z) = (-Z^2,y^2,x^2) and C is the curve of intersection of the place -y+z=0 and the parabloid z=x^2+y^2


    2. Relevant equations



    3. The attempt at a solution
    found the curl of -2x-2xj, but coudlnt figure out how to calculate the integral
     
  2. jcsd
  3. Dec 1, 2011 #2

    Pythagorean

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    Gold Member

    can you set up the integral for us and tell us exactly what your problem is?
     
  4. Dec 2, 2011 #3

    HallsofIvy

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    '-2x-2xj' makes no sense. And if you intended '(-2x-2x)j', that is 0.

    Since the curve is given as the intersection of the two surfaces, you can use Stoke's theorem on either surface. I imagine the plane would be easier.
     
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