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Numerical Integration: Accumulating Rates of Change

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Author:Geometry Center
Description: The fundamental theorem of calculus tells us that if we know the rate of change of some quantity, then adding up (or integrating) the rate of change over some interval will give the total change in that quantity over the same interval. But often scientists do not know a formula for a function, but can only experimentally know the value of the function at discrete times. Is it possible to "integrate" the discrete data? If so, how?

Levels: High School (9-12), College
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Integration, Euclidean Plane Geometry, Data Analysis, Graphing of Data, Geology

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