An object is displaced from position vector $\vec{r}_{1}=(2 \hat{i}+3 \hat{j}) \mathrm{m}$ to $\vec{r}_{2}=(4 \hat{i}+6 \hat{j}) \mathrm{m}$ under the action of a force $\vec{F}=\left(3 x^{2} \hat{i}+2 y \hat{j}\right) \mathbb{N}$. Find the work done by this force.