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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.

Wednesday, January 18, 2006

Integral facts




I
nverse of a derivative

Not an antiderivative for it is conceptually different

The infinite sum of small rectangles in an interval

Early use of integration was by Archimedes by finding area of a circle

Generates practically a number not another function

Riemann sum is a method used to approximate values of integral

Accumulation of quantities such as area under the curve or volume displaced

Leibniz introduced the standard long “s” notation of integral




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