Chapter 7.1, Problem 75E

To determine

To show: The result $\ln 2<1$ by approximating and $\ln 2={\displaystyle \underset{1}{\overset{2}{\int }}\frac{dt}{t}}$ $\ln 3>1$ by approximating $\ln 3={\displaystyle \underset{1}{\overset{3}{\int }}\frac{dt}{t}}$ by using Riemann sum.