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