p1 oso ovy p2 oso ovy qc oso ovy t1 oso gtbl001 05 gtbl001 smith v16 cls november7 2005 10 6 432 chapter5 applicationsofthedefiniteintegral 5 2 that each of these ...
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...P oso ovy qc t gtbl smith v cls november chapter applicationsofthedefiniteintegral that each of these plays in connecting the new problem to integration by doing so you will see common thread running through many diverse applications is integral areabetweencurves y weinitiallydevelopedthedeniteintegral inchapter tocomputetheareaunderacurve particular let f be a continuous function dened on where x nd area under curve onthe interval we begin dividing par titioning into n subintervals equal size b points partition are then and i fori subinterval construct rectangle height c for some as indicated figure take sum areas rectan gles an approximation aswetakemoreandmorerectangles this approaches exact which lim dx ab nowextendthisnotion bounded between two curves g werstuserectanglestoapproximatethearea inthiscase oneach constructarectangle stretchingfromthelowercurve tothe upper shown referring ith has h length width ci approximate section thetotalareaisthenapproximatelyequaltothesumoftheare...