[See Solution] Use Green's Theorem to evaluate the line integral of the vector field F(x, y)= x^3 \vecimath+x \vecjmath around the unit square (the square in


Question: Use Green's Theorem to evaluate the line integral of the vector field \(\vec{F}(x, y)=\) \(x^{3} \vec{\imath}+x \vec{\jmath}\) around the unit square (the square in the xy-plane with vertices at \((0,0),(0,1),(1,0)\), and \((1,1)\) ) orientated clockwise.

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