7.
- Find the averagevalueof over
- If is continuousand showthat takeson the value at leastonceon the interval
- Your friendstatesthat thereis no area underthe curveof on sincehe computed
Is he correct?Explainyour answer.
Answers
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- Applythe MeanValue Theoremfor integrals.
- He is partiallycorrect.The definiteintegral computesthe net areaunderthe curve.
However, the area betweenthe curveand the -axisis givenby