Homework Help: Green's Theorem and a triangle

1. Aug 2, 2010

EV33

1. The problem statement, all variables and given/known data
Use Green's Theorem to evaluate ∫F*dr.
(Check the orientation of the curve before you applying the theorem.)

F(x,y)=<y2cos(x), x2+2ysin(x)>

C is the triangle from (0,0) to (2,6) to (2,0) to (0,0)

*=dot product
2. Relevant equations

Green's Theorem

3. The attempt at a solution

-∫∫2x+2ycos(x)-2ycos(x) dydx= -∫∫$$_{D}$$ 2x dydx

D={0$$\leq$$y$$\leq$$3x, and 0$$\leq$$x$$\leq$$2)

I put the negative out front because the problem goes from point to point in a clockwise direction. Is this set up correct?