A force $\mathrm{F}=\left(5+3 y^{2}\right)$ acts on a particle in the $y$-direction, where $\mathrm{F}$ is in newton and $y$ is in meter. The work done by the force during a displacement from $y=2 \mathrm{~m}$ to $y=5 \mathrm{~m}$ is ___________ J.