Module 18 - Antiderivatives as Indefinite Integrals and Differential Equations

Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Lesson 4 | Self-Test

Lesson 18.2: A Script For Discovering an Indefinite Integral Rule

In this lesson you will download and execute a script that develops another rule for finding antiderivatives. Once the script is on your TI-89 you can execute it to discover the indefinite integral rule by evaluating three types of indefinite integrals that each have the form . You will then be asked to find a general rule for indefinite integrals that have the same form.

• Choose to save the file
• Save the file on your local hard disk in a folder that you can access later

Transferring the Script to the TI-89

• Transfer the script intconst to your TI-89
• Clear the Home Screen

Opening the Script

• Open the Text Editor by pressing
• Select 2:Open
• Display the Variable submenu by pressing
• The variables submenu will display a list of all scripts stored in the TI-89.

• Highlight intconst

• Select the script by pressing

• Split the screen by pressing and selecting 1:Script view
 Toggling Between the Two Screens A darker border indicates the active part of the screen. You may toggle between the two screens by pressing .

Finding

The script intconst walks you through the discovery process of finding the general rule for by evaluating examples of the integrals shown below and predicting a general rule for each type:

You may want to record the results of the calculations for use in making a prediction. When prompted to make a prediction, write your response before proceeding to the next command.

• Execute the entire script one step at a time by pressing

The last comment in the script is

"Write a summary of what you have learned from these examples. Use a formula involving an integral."

18.2.1 Write a rule for finding .