I must compute the outward flux and counter clockwise circulation of $F$ through and around $C$ using Green's theorem.
$F=<xy,\:x+y>$, $C\:is\:the\:triangle\:\left(-1,0\right),\left(0,1\right),\left(1,0\right)$
the correct answer for the flux is 4/3 and circulation is 2. However, with my calculations I'm not getting these answers:
(my work for the flux)
and my work for the circulation
I believe there's a mistake somewhere in my algebra, but after several checks I've been unable to find it.
I'm not sure I follow all of what you're doing, but at least one problem is that on both sheets you integrated $z$ to $z^2$ instead of $z^2/2$ (where $z$ stands for $y$ on the first sheet for $x$ on the second).