The AreaProblem
LearningObjectives
- Use sigmanotationto evaluatesumsof rectangularareas
- Find limitsof upperand lowersums
- Use the limit definitionof area to solveproblems
Introduction
In The LessonThe Calculuswe introducedthe area problemthat we considerin integralcalculus.The basic
problemwas this:
Supposewe are interestedin findingthe area betweenthe -axis and the curveof
from to
We approximatedthe area by constructingfour rectangles,with the heightof eachrectangleequalto the
maximumvalueof the functionin the sub-interval.