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Re: [apcalculus] antidifferentiation vs integration
Posted:
Dec 7, 2008 8:07 AM


To tell the brutal truth, Mark's position is equally true in mathematics and missing that distinction misses the critical point of the Fundamental Theorem of Calculus. Antiderivatives are indefinite integrals. Short of that theorem integration and antidifferentiation stand conceptually as two apparently distinct and unrelated processes. Bill In a message dated 12/7/2008 7:47:00 A.M. Eastern Standard Time, msnyder@tiac.net writes:
At 4:25 PM 0800 12/4/08, Dick Sisley wrote: >marylou wrote: > >>My instinct tells me that antidifferentiation is the process we use >>to find a function F whose derivative is given. The process of >>integration relates more to finding the area below the given >>function and the xaxis. Am I totalling off base? >> >I think you are right on base. Antiderivatives are functions. >Integrals are numbers.
If so, only in mathematics. Elsewhere (physics, engineering, ...), I have never heard anyone say "antiderivative": they say "integral," as in "the integral of x from 2 to 4" or "the integral of 2x is x^2." If they want to get picky, they sometimes distinguish between a number (definite integral) and a function (indefinite integral).
mark
 mark snyder dept of mathematics fitchburg state college
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