Calculus: FTC

Students will compare constant and non-constant integrands. First, students will examine a constant integrand.

Students will notice that there is a constant rate of change, of 1.5, in the graph of f (x) = 1.5. They will record the outputs and create a scatter plot of the ordered pairs. They will see that the graph is a line with a slope of the constant.

In problem 2, students investigate the behavior of a non-constant integrand. They will see that the function changes at a non-constant rate.