A force $F = \left( 5 + 3 y ^ { 2 } \right)$ acts on a particle in the $y$-direction, where $F$ is 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.
A force $F = \left( 5 + 3 y ^ { 2 } \right)$ acts on a particle in the $y$-direction, where $F$ is 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.