Use Green's Theorem to find the work done by the force $\mathbf { F } ( x , y ) = x ( x + 4 y ) \mathbf { i } + 4 x y ^ { 2 } \mathbf { j }$ in moving a particle from the origin along the x-axis to (1, 0) then along the line segment to
(0, 1) and then back to the origin along the y-axis.

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The Answer of Use Green's Theorem to find the work done by the force $\mathbf { F } ( x , y ) = x ( x + 4 y ) \mathbf { i } + 4 x y ^ { 2 } \mathbf { j }$ in moving a particle from the origin along the x-axis to (1, 0) then along the line segment to
(0, 1) and then back to the origin along the y-axis.

Use Green's Theorem to Find the Work Done by the Force