For a variable force, work is defined as the integral of force over the given distance: F(x) dx a (a) Compute the amount of work done by moving an object by 3 meters by applying a constant force of 5 N (b) The force applied to move an object is not always constant. If you happen to be pushing a block of ice uphill, its mass may be decreasing because the ice is melting, and that will lead to the force required to move it to change. Suppose that the force is a function of F(x) where x is the position. Then the amount of work done to go from position a to position b is given by F(x) dx. Compute the work done moving a particle from x = 0 to x = 1 (in meters) if the force acting on it is F(x) = 6x N.