Proving Stokes Theorem for Vector Field E on Given Contour and Surface

[zak8000]

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

 

[vela]

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

 

[zak8000]

ok thanks i guess the textbook answers are wrong