Definite Integrals on the TI-89 Calculator

This tutorial demonstrates how to evaluate definite integrals using the TI-89 graphing calculator. It covers accessing the integrate function from the calculus menu, entering integrant functions, and setting integration limits. The video provides three examples, highlighting the use of exact mode, decimal approximations, and the importance of radian mode when using Pi as an integration limit. The tutorial also shows how to access the integrate function from the home screen.

What function is used to evaluate definite integrals on the TI-89 calculator?

• Graph

• Solve

• Integrate

• Differentiate

Which key do you press to access the calculus menu on the TI-89?

• F3

• F2

• F4

• F1

In the first example, what is the upper limit of integration?

• 2

• 0

• 3

• 1

What is the exact value of the first definite integral evaluated in the tutorial?

• 3/4

• 7/3

• 8/3

• 5/2

How can you obtain a decimal approximation of a definite integral on the TI-89?

• Press F3

• Press Diamond Enter

• Press Alpha

• Press Mode

What is the exact value of the second definite integral in the tutorial?

• 5 natural log 6

• 6 natural log 4

• 6 natural log 5

• 4 natural log 5

What mode should the calculator be in when evaluating integrals with pi as a limit?

• Approximate

• Exact

• Radian

• Degree

How do you access the integrate function from the home screen?

• Press Diamond Enter

• Press Second 7

• Press F3

• Press Mode

In the final example, what is the upper limit of integration?

• 0

• 5

• Pi

• 2

What is the exact value of the final definite integral evaluated in the tutorial?

• Pi^2 / 5 + 2

• Pi^2 / 2 + 4

• Pi^2 / 3 + 5

• Pi^2 / 4 + 3