SHORT ANSWER $$\text { Use the max-min inequality to find upper and lower bounds for the value of } \int _ { 1 } ^ { 3 } \frac { 1 } { x } d x \text {. }$$

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Provide an appropriate response.
- $$\text { Use the max-min inequality to find upper and lower bounds for the value of } \int _ { 1 } ^ { 3 } \frac { 1 } { x } d x \text {. }$$