An $\backslash ($ x $\backslash )$ directed force that acts on an object is shown in the Figure as a function of $\backslash ($ x $\backslash ).$ Find the work done by the force in the interval between $\backslash ([0\backslash$mathrm$\{$~cm$\},6\backslash$mathrm$\{$~cm$\}]\backslash ).$

$\backslash$begin$\{$tabular$\}\{$l$\}$

$2$ J $\backslash \backslash$

$\backslash$hline $10$ J $\backslash \backslash$

$\backslash$hline $6$ J $\backslash \backslash$

$\backslash$hline $7\mathrm{.}5$ J $\backslash \backslash$

$\backslash$hline $8\mathrm{.}4$ J $\backslash \backslash$

$3\mathrm{.}5$ J

$\backslash$end$\{$tabular$\}$