Compute the work done by the force (mathbf{F}=left(x^{2}-y^{2} ight) mathbf{i}+2 x y mathbf{j}) in moving a particle

Compute the work done by the force \(\mathbf{F}=\left(x^{2}-y^{2}\right) \mathbf{i}+2 x y \mathbf{j}\) in moving a particle counterclockwise around the boundary of the rectangle \(R=[0,3] \times\) \([0,5]\).