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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
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Provide an appropriate response.
-  Use the max-min inequality to show that if f is integrable and f(x)0 on [a,b], then abf(x)dx0\text { Use the max-min inequality to show that if } \mathrm { f } \text { is integrable and } \mathrm { f } ( \mathrm { x } ) \leq 0 \text { on } [ a , b ] \text {, then } \int _ { a } ^ { b } \mathrm { f } ( \mathrm { x } ) \mathrm { dx } \leq 0 \text {. }

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