Although it is not defined on all of space r^3, the field associated with the line integral below is simply connected, and the component test can be used to show it is conservative. find a potential function for the field and evaluate the integral. integral_(1, 1, 1)^(2, 3, 4) 1/y dx + (1/z - x/y^2) dy - y/z^2 dz find the potential function. f(x, y, z) = x/y + y/z + c (use c as the arbitrary constant.) evaluate the line integral. integral_(1, 1, 1)^(2, 3, 4) 1/y dx + (1/z - x/y^2) dy - y/z^2 dz =