The amount of trash $\displaystyle {G}{\left({t}\right)}$, in tons per year, produced by a town is projected to continue growing according to the formula $\displaystyle \frac{{{d}{G}}}{{{\left.{d}{t}\right.}}}={68}+{4}{t}$. Based on this projection, calculate the total amount of trash that will be produced over the next $\displaystyle {7}$ years, with $\displaystyle {t}={0}$ corresponding to the present time.

tons