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. Anti-derivatives are indefinite integrals. Short of that theorem integration and anti-differentiation stand conceptually as two apparently distinct and unrelated processes.
In a message dated 12/7/2008 7:47:00 A.M. Eastern Standard Time, email@example.com 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 x-axis. Am I totalling off base? >> >I think you are right on base. Anti-derivatives 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 snyder dept of mathematics fitchburg state college