Solve the Problem $W$ (In Joules) Done by a Force $F$ (In Newtons) Moving an Object Through a Distance

Multiple Choice

Solve the problem.
-The work $W$ (in joules) done by a force $F$ (in newtons) moving an object through a distance $x$ (in meters) is given by $\mathrm{W}=\int \mathrm{Fdx}$ . Find a formula for $\mathrm{W}$ , if $\mathrm{F}=\mathrm{kx}$ and $\mathrm{k}$ is a constant.

A) $W=\frac{k x}{2}+C$
B) $\mathrm{W}=\frac{k x^{2}}{2}+C$
C) $\mathrm{W}=\mathrm{kx} \mathrm{x}^{2}+\mathrm{C}$
D) $\mathrm{W}=\mathrm{k}+\mathrm{C}$