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...Hof ch qxd pm page user s mhdq mhhof hofch chapter computing area under a curve like the of region spanned by scaffolding roller coaster track is an application integration antidifferentiation indenite integral substitution denite and fundamental theorem calculus applying between curves average value additional applications to business economics life social sciences summary important terms symbols formulas checkup for review exercises explore update think about it section how can known rate ination be used determine future prices what velocity object moving along straight line with acceleration knowing at which population changing predict popula tion levels in all these situations derivative change quantity itself required here terminology we will use con nection obtaining function from its afunction f x said antiderivative if every domain process nding antiderivatives called or note sometimes write equation as df dx later this you learn techniques nd antideriva tives once have found b...