This activity introduces the Integral Test for series convergence by utilizing the built-in CAS capabilities of the TI-Nspire CAS. Students are first told the conditions under which the Integral Test is applicable and the conclusions that can be drawn from it. An example is worked through and problems for students to try are included. The final and introduction to p-series convergence and divergence is included.
Before the Activity
Download IntegralTest_Turkington.tns and IntegralTest_Turkington.pdf. Transfer the .tns file to student handhelds.
During the Activity
The activity is student centered. Teacher should circulate throughout the class and aid students as necessary.
After the Activity
Summarize the Integral Test and how to apply it. Students will likely need additional practice problems that can be assigned from the text book.