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 fixedcapacitance 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: The charge as a function of time is q(t)=i(t)dt where i (t)= 12t^5+12t^2-22 is the current as a function of time.

You need to provide the computer with the functionq(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)=