Recall That the Voltage Across a Capacitor Is Given By V_{C}=\frac{1}{C}

Multiple Choice

Recall that the voltage across a capacitor is given by $V_{C}=\frac{1}{C} \int i(t) d t$ . Find the formula for $V_{C}$ if $C=$ .01 farad, $i(t) =2 t+3$ amperes, and $V_{C}(0) =12$ volts.

A) $V_{C}(t) =100 t^{2}+300 t^{2}+1200$ volts
B) $V_{C}(t) =t^{2}+3 t+1200$ volts
C) $V_{C}(t) =100 t^{2}+300 t+12$ volts
D) $V_{C}(t) =t^{2}+3 t+12$ volts