Chapter 4.5, Problem 90E

Divorce rate. The divorce rate in the United States is approximated by

$D\left(t\right)=3.95e^{-0.012t}$

Where $D\left(t\right)$ 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 divorces per 1000 people in the United States from 2000 to 2008. Note that this is given by

${\displaystyle {\int }_0^{8}D\left(t\right)dt}$

b. Find the total number of divorces in the United States between 2008 and 2006.