Consider the vector field F = (x3 y, x43). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is f(x, y) If F is conservative, use f(x, y) to evaluate valuate F . di along a piecewise smooth curve (C) from (2; 4) to (-3, - 5 ). F . dr