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SHORT ANSWER 121xdx\int _ { 1 } ^ { 2 } \frac { 1 } { x } \mathrm { dx }

Question 132

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Provide an appropriate response.
-Use the max-min inequality to find upper and lower bounds for 121xdx\int _ { 1 } ^ { 2 } \frac { 1 } { x } \mathrm { dx } and 231xdx\int _ { 2 } ^ { 3 } \frac { 1 } { \mathrm { x } } \mathrm { dx } . Add these to arrive at an estimate of 131xdx\int _ { 1 } ^ { 3 } \frac { 1 } { x } d x .

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