Solve the Problem $\mathrm{L}$ (In Henries) Is Given By $\mathrm{i}=\frac{1}{\mathrm{~L}} \int \mathrm{Vdt}$

Multiple Choice

Solve the problem.
-The current (in amperes) in an inductor of inductance $\mathrm{L}$ (in henries) is given by $\mathrm{i}=\frac{1}{\mathrm{~L}} \int \mathrm{Vdt}$ , where $\mathrm{V}$ is the voltage (in volts) and $\mathrm{t}$ is the time (in seconds) . Find a formula for $\mathrm{i}$ , if $\mathrm{V}=7 \mathrm{t}\left(\mathrm{t}^{2}-4\right)$ .

A) $\mathrm{i}=\mathrm{L}\left(\frac{7}{4}\left(\mathrm{t}^{2}-4\right) \right) +\mathrm{C}$
B) $i=\mathrm{L}\left(\frac{7}{4}\left(t^{2}-4\right) ^{2}\right) +C$
C) $i=\frac{1}{L}\left(\frac{7}{4}\left(t^{2}-4\right) ^{2}\right) +C$
D) $\mathrm{i}=\frac{1}{\mathrm{~L}}\left(\frac{7}{4}\left(\mathrm{t}^{2}-4\right) \right) +\mathrm{C}$