Problem 5. Use Green's Theorem to evaluate ∫_C F*dr.
(a). F(x,y)=(ycosx-xysinx,xy+xcosx), where C is the triangle from (0,0) to (0,4) to (2,0) to (0,0).
(b). F(x,y)=((sinx+cosx)^(2014),-(2x)/(1+x^(2))), where C is the triangle from (0,0) to (1,1) to (0,1) to (0,0).
Problem 5. Use Green's Theorem to evaluate ∫ F. dr
(a). F(x,y) = (ycosx - xysinx, xy+ x cosx), where C is the triangle from (0,0) to (0,4) to (2,0) to (0,0).
to(0,1) to(0,0)