Education Technology

TI-89 Titanium Graphing Calculator Lesson
Module 16: The Fundamental Theorem of Calculus

Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test


  1. Use your calculator to find the function that gives the area bounded by f(t) = 3t2, t = x and the t-axis.

  3. What does the Fundamental Theorem say about the relationship between the area function you found in Question 1 and the function f(t) = 3t 2?

  5. Use the following graph to sketch a graph of the corresponding area function.




  7. Predict the derivative and check with your calculator.

  9. Predict the result of the definite integral and check with your calculator.


Click here to check your answers.