${\displaystyle \underset{0}{\overset{}{}}}{e}^{-x}dx$

${\displaystyle \underset{-}{\overset{-1}{}}}{x}^{-\frac{1}{3}}dx$

${\displaystyle \underset{-}{\overset{0}{}}}{e}^{-x}dx$

${\displaystyle \underset{-}{\overset{}{}}}x{e}^{1-x^2}dx$

$5.$Revenue from the sale of new homes decreased dramatically from $2005$ to $2010$ as shown in the model $412e^{-\mathrm{.}323t}$ billion dollars per year, where $t$ is the number of years since $2005.$ If this trend were to have continued into the indefinite future, estimate the total revenue from the sale of new homes in the United States from $2005$ on$.$

$6.$Sales of the text Calculus and You have been declining continuously at a rate of $5\%$ per year. Assuming that Calculus and You currently sells $5,000$ copies per year, and that sales will continue this pattern of decline, calculate the total future sales of the text.