Physics Question from JEE Main 2026 · 21 January, Shift 2

A body of mass $2 \, \text{kg}$ is moving along x-direction such that its displacement as function of time is given by $x(t) = \alpha t^2 + \beta t + \gamma$ m, where $\alpha = 1 \, \text{m/s}^2$, $\beta = 1 \, \text{m/s}$ and $\gamma = 1 \, \text{m}$. The work done on the body during the time interval $t = 2 \, \text{s}$ to $t = 3 \, \text{s}$, is _____ J.