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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Tuesday, November 01, 2005

The Fundamental Theorem of Calculus

In class today we went on another road trip, or rather, Xun and Ara went on another road trip. Though it might have been a good idea to get that odometer fixed before the trip though. :P

The highlight of todays class was:
The Fundamental Theorem of Calculus

We were only taught the second part of the theorem though, we will be taught the first part later. I don't know about you guys though but I don't like seeing the second part of anything before I see the first, especially when it comes to movies. Mr. K has his reasons for teaching it to us this way though.

Now although it must have been a rough trip having to write out the values every 2 seconds, they persevered and brought us back the table of values which was the basis of todays class. That aside, onto the theorem.

The theorem is




That meaning that in the interval [a,b], the function f(x) multiplied by dx(meaning an extremely small change in x) is equal to the change in x in the interval.
A simpler way of wording that would be that finding the integral over a specified interval gives the total change in the the parent function.

I feel bad for Xun having to go after me, because she was the person I had to pick the last two times, because I'm pretty sure that there is nobody left after me. See you all in class.



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