Charging the Capacitor
Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, $q(t)$. These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions:
Charge: The charge as a function of time is $q(t) = \int i(t) dt$, where $i(t) = 18t^5 + 16t^3 - 18$ is the current as a function of time.
You need to provide the computer with the function $q(t)$ in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance.
$q(t) =$
