Chapter 5.3, Problem 98E

a.

To determine

To find: The value of $A\left(x\right)={\displaystyle \underset{a}{\overset{x}{\int }}\frac{1}{x}dx}$, where $a=1$ by using the fundamental theorem of calculus.

b.

To determine

To sketch: The graphs of $f\left(x\right)=\frac{1}{x}$ and $A\left(x\right)=\ln x$.

c.

To determine

To evaluate: The value of $A\left(b\right)$ and $A\left(c\right)$ and interpret the results by using the graph of part (b).