Work A particle moves along the path y = x from the point (0, 0) to the point (1, 1). The force field F is

Work A particle moves along the path y = x² from the point (0, 0) to the point (1, 1). The force field F is measured at five points along the path, and the results are shown in the table. Use Simpson's Rule or a graphing utility to approximate the work done by the force field.

(x, y) F(x, y) (0, 0) (5,0) (2) (116) (3.5, 1) (3) (2, 2) (%) (1.5, 3) (1, 1) (1,5)