Concept explainers
Bounds on an integral Suppose f is continuous on [a, b] with f″(x) > 0 on the interval. It can be shown that
- a. Assuming f is nonnegative on [a, b], draw a figure to illustrate the geometric meaning of these inequalities. Discuss your conclusions.
- b. Divide these inequalities by (b − a) and interpret the resulting inequalities in terms of the average value of f on [a, b].
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