When a particle is located at a distance $x$ meters from the origin, a force of $\cos(\pi x/3)$ newtons acts on it.

(a) How much work (in Joules) is done in moving the particle from $x = 1$ to $x = 1.5$?

Work done = J

(b) How much work (in Joules) is done in moving the particle from $x = 1.5$ to $x = 2$?

Work done = J

(c) How much work (in Joules) is done in moving the particle from $x = 1$ to $x = 2$?

Work done = J