Thread: Work done by a force field (Vector Fields)

Find the work done by the force field:

F = (y^2 * cosx + z^3)i + (2ysinx-4)j + (3xz^2 + 2)k

in moving a particle along the curve:

x = arcsin(t)
y = 1-2t
z = 3t-1 0<t<1

Calculate the integral



where F is the force applied and c the underlying curve.

Am I supposed to go through and find a potential for F? Im kinda lost on this one