A force on a particle depends on position such that F$($x$)=(3\mathrm{.}00$ N$/$m$2)$x$2+(6\mathrm{.}00$ N$/$m$)$x for a particle constrained to move along the x$-$axis. What work is done by this force on a particle that moves from x $=0\mathrm{.}00$ m to x $=2\mathrm{.}00$ m$?$ a$)10\mathrm{.}0$ J b$)20\mathrm{.}0$ J c$)-48\mathrm{.}0$ J d$)24\mathrm{.}0$ J e$)48\mathrm{.}0$ J