The electric current through a wire varies with time as I = I_0+β t, where I_0=20 A and β=3 A / s. The amount of electric charge crossed through a…

The electric current through a wire varies with time as $\displaystyle \mathrm{I}=\mathrm{I}_0+\beta \mathrm{t}$, where $\displaystyle \mathrm{I}_0=20 \mathrm{~A}$ and $\displaystyle \beta=3 \mathrm{~A} / \mathrm{s}$. The amount of electric charge crossed through a section of the wire in $\displaystyle 20$ s is :