proving stokes theorem

zak8000

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

vela

For that vector field and contour, -3/2 is the correct answer.

zak8000

ok thanks i guess the text book answers are wrong