(adsbygoogle = window.adsbygoogle || []).push({}); 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)=<y^{2}cos(x), x^{2}+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= -∫∫[tex]_{D}[/tex] 2x dydx

D={0[tex]\leq[/tex]y[tex]\leq[/tex]3x, and 0[tex]\leq[/tex]x[tex]\leq[/tex]2)

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

Thank you for your time.

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# Homework Help: Green's Theorem and a triangle

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