Question

Evaluate the line integral by using Green's Theorem.
\[\oint_c xydx+x^2dy\]
C is the rectangle with vertices (0,0) (3,0) (3,1) and (0,1)

Answer 1

would the following still hold?
\[\int_c Pdx+Qdy=\iint\limits_D \left( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y}\right) dA\]

Answer 2

ohh i just saw your reply...thank you

Answer 3

np :) glad it helped