Activities

Introduction to the Fundamental Theorem

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

Students explore the constant integrand and notice that there is a constant rate of change in the graph.
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.
Finally, students explore a function defined by an integral, where the integrand changes sign.