Answer
$W=135\ J$
Work Step by Step
We know that $W=\int \vec{F}\cdot d\vec{r}$.
Thus, we find:
$W = \int_0^3 cxydx+\int_0^6d dy$
$W = \int_0^3 cx(ax^2-bx)dx+6\times15$
$W=135\ J$
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