Chapter 4.5, Problem 89E

Marginal rate. The marriage rate in the United states is approximated by

$M\left(t\right)=8.3e^{-0.019t}$

Where $M\left(t\right)$ is the number of marriage per 1000 people, t years after 2000. (Source: Based on data from www.cdc.gov.)

Find the total number of marriage per 1000 people in the United States from 2000 to 2005.note that this is given by

${\displaystyle {\int }_0^{5}M\left(t\right)dt}$

Find the total number of marriage per 1000 people in the United States between 2005 and 2016.