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Topic: The Definite Integral as an Accumulator
Replies: 5   Last Post: Oct 9, 1997 9:48 PM

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Kim Foltz

Posts: 4
Registered: 12/6/04
The Definite Integral as an Accumulator
Posted: Sep 9, 1997 5:59 PM
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One of the new points of emphasis on the AP syllabus seems to be
looking at applications of the derivative beyond the typical volume
problems with disks, washers, and shells. From the literature I read and
from the discussions I heard this summer, the new buzz pharse is to
look at the definite integral as an accumulator. (The cola problem from
the 1996 exam is an example of this.)

With this in mind, I would like to add some additional problems to my
spring semester materials as examples and/or as homework. I have hit a
creative block on this one, though.

Does anyone have a good idea for the start of such a problem?
Is anyone aware of a text that makes particular use of these types of
integral applications?

Thanks.

Kim Foltz
Indiana Academy for Science, Mathematics, and Humanities
Ball State University
Muncie, IN 47306





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