A force \( \vec{F} = (2 + 3x)\hat{i} \) acts on a particle in the \( x \) direction where \( F \) is in newton and \( x \) is in meter. The work done by this force during a displacement from \( x = 0 \) to \( x = 4 \, \text{m} \), is _______ \( \text{J} \).
