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A particle starts at the origin, moves along the $x-$axis to $(2,0),$ then along the quarter$-$circle $x^2+y^2=4,x0,y0$ to the point $(0,2),$ and then down the $y-$axis back to the origin. Use Green's theorem to find the work done on this particle by the following force field.

$F(x,y)=($:$sin(x),sin(y)+x{y}^2+\frac{1}{3}{x}^3$:$)$

Question $12$ of $13$

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