Chapter 13.3, Problem 49E

Work these exercises (See Example 6.)

Pharmacy Sales The rate of sales (in billions of dollars per year) in pharmacies and drugstores can be approximated by

$f\left(x\right)=42\ln \left(x\right)+24\left(x\ge 1\right),$

where $x=1$ corresponds to the year 2001. Find the function $F\left(x\right)$ that gives total sales between the year 2001 and year x (Hint: $F\left(1\right)=0$ because we are counting only total sales since 2001.) (Data from: Annual Retail Trade Survey.)