Proving stokes theorem

  • Thread starter zak8000
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  • #1
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Homework Statement



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

Homework Equations





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
 

Answers and Replies

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

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