Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: [ap-calculus] antidifferentiation vs integration
Replies: 3   Last Post: Dec 7, 2008 8:07 AM

 Messages: [ Previous | Next ]
 BCrombie@AOL.COM Posts: 108 Registered: 12/8/04
Re: [ap-calculus] 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. Anti-derivatives are indefinite integrals. Short of that
theorem integration and anti-differentiation 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 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

--
mark snyder
dept of mathematics
fitchburg state college

====
Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
---

favorite sites in one place. Try it now.
(http://www.aol.com/?optin=new-dp&icid=aolcom40vanity&ncid=emlcntaolcom00000010)

====
Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
---