TEACHER NOTES

ISSUES RELATED TO THE PROBLEM

Prerequisites

Integration, solving equations.

Time allotment - time management

This can be a discovery exercise to confirm understanding of area and use of the CAS.

Expectations

Students will be able to integrate a function with a constant and use the resulting integrated function in problem formulation.

Future payoffs

Students will be able to deal with an additional layer of abstraction with regard to use of integrals.

Extensions

Confirm that the area under the sine curve from x=0 to x=pi is 2 units. This integer value is usually an unexpected answer. This leads to similar investigations of the same family such as y = 3 sin(x) and y = sin(2x).

References and Sources