Antiderivatives 

Copyright Maplesoft, a division of Waterloo Maple Inc., 2007 

Introduction 

This application is one of a collection of examples teaching Calculus with Maple. These applications use Clickable Calculus? methods to solve problems interactively. Steps are given at every stage of the solution, and many are illustrated using short video clips.  Click on the buttons to watch the videos. 

Problem Statement 

Find all antiderivatives of . 

 

Solution 

First load the Student[Calculus 1] package.

Select Tools > Load Package > Student Calculus 1. Alternatively, type in the code: with(Student[Calculus1]).

Loading Student:-Calculus1  

 

Type in the function for which the antiderivative is to be found.  Then launch the Antiderivative Tutor.

To load the Antiderivative Tutor, right-click on the function and select Tutors>Calculus - Single Variable>Antiderivatives.

 

(3.1)

 

 

 

 

Check the box for "Show class of antiderivatives" to see the members of this family of antiderivatives for some values of c, shown by the green curves.  The blue curve shows the antiderivative for which equals the presribed initial value. 

 

For , the antiderivative for which , is given by the tutor as .  It is the blue curve in the plot.  The general antiderivative is then , where c is an arbitrary constant. 

Legal Notice: The copyright for this application is owned by Maplesoft. The application is intended to demonstrate the use of Maple to solve a particular problem. It has been made available for product evaluation purposes only and may not be used in any other context without the express permission of Maplesoft.