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Activity: The Area Function
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Description: In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Specifically, students will see that g(x) is related to the area under the graph of f(x) from a to x. They will also notice that the graph of g(x) is the antiderivative of f(x), thereby providing graphical support for Part 1 of the Fundamental Theorem of Calculus.
Technology Type: TI-Nspire 
Author: Texas Instruments
Language: English 
Cost: Does not require payment for use

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Courses: Calculus Graph of f vs. f', Interpretations & properties, Area of a region, To represent an antiderivative