Education Technology

Introduction to the Fundamental Theorem

Activity Overview

Students understand functions defined by a definite integral, where the independent variable is an upper limit of integration.

Key Steps

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    Students explore the constant integrand and notice that there is a constant rate of change in the graph.

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    Next, they explore the non-constant integrand and investigate the behavior of the function shown.


    They will see that the function changes at a non-constant rate.

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    Finally, students explore a function defined by an integral, where the integrand changes sign.