Particle Motion Initial Value Problem

A particle moves along the $x$-axis. For time $t \geq 0$, its acceleration is given by $a(t) = 3\cos t - 2$. The particle’s initial velocity is $v(0) = 4$, and its initial position is $x(0) = -2$. The position of the particle at time $t$ is given by $x(t) =$