Module 18  Antiderivatives as Indefinite Integrals and Differential Equations  
Introduction  Lesson 1  Lesson 2  Lesson 3  Lesson 4  SelfTest  
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 TI89 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. Downloading the Script intconst
Transferring the Script to the TI89 Click here to get information about how to obtain the needed cable and to review the procedure to transfer the program from your computer to your calculator.
Opening the Script
The variables submenu will display a list of all scripts stored in the TI89.
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.
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
.
18.2.2 Illustrate the family of curves associated with
. 

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