The amount of charge passing through a surface, given by a function $Q(t),$ is measured in coulombs C $.$ The current is the rate at which charge flows through a surface. This function is $I(t)$ and is measured in amperes, $A,$ or coulombs per second. C$/$s$.$

If a current for a certain surface is modeled by the function

$I(t)=3t^2-2t3$ for $t0$

how much charge passes through the surface after $14$ seconds?