The force, $F$, required to compress a spring by a distance $x$ meters is given by $F=6 x$ newtons.

Which will be more work?
A. The work to compress from 0 to 1
B. The work to compress from 3 to 4

(Be sure you can explain why this is the case!)

Find the work done in compressing the spring from $x=0$ to $x=1$ and in compressing the spring from $x=3$ to $x=4$.
Work compressing from $x=0$ to $x=1$:
(include units)
Work compressing from $x=3$ to $x=4$:
(include units)