The rate at which a substance grows is given by R$\text{'}($x$)=100$e$\mathrm{.}7$X$,$ where x is the time $($in days$).$ What is the total accumulated growth during the first $3\mathrm{.}5$ days?listSet up the definite integral that determines the accumulated growth during the first $3\mathrm{.}5$ days$\mathrm{.}13\mathrm{.}5$Growth $=((1000.]$x$)$ dxn $2($Type exact answers in terms of'e.$)$on $3$Evaluate the definite integral.Growth $=1527\mathrm{.}1($Do not round until the final answer. Then round to one decimal place as needed.$)$