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Homework Help: Proving stokes theorem

  1. Jun 17, 2011 #1
    1. The problem statement, all variables and given/known data

    for the vector field E=x(xy)-y(x^2 +2y^2)
    find E.dl along the contour
    find (nabla)xE along the surface x=0 and x=1 y=0 and y=1
    2. Relevant equations

    3. The attempt at a solution
    i tried the second question (nabla)xE over the surface by finding the determinant of the matrix as -2x-x=-3x so (nabla)xE=-3x and integrating along the surface x and y i found the answer to be -3/2 but the answer is meant to be -1 for both cases in order to prove stokes thm
  2. jcsd
  3. Jun 17, 2011 #2


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    For that vector field and contour, -3/2 is the correct answer.
  4. Jun 18, 2011 #3
    ok thanks i guess the text book answers are wrong
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