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Proving stokes theorem

by zak8000
Tags: proving, stokes, theorem
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Jun17-11, 08:44 PM
P: 74
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
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Jun17-11, 10:02 PM
Sci Advisor
HW Helper
PF Gold
P: 11,746
For that vector field and contour, -3/2 is the correct answer.
Jun18-11, 12:14 AM
P: 74
ok thanks i guess the text book answers are wrong

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