Tool: An Antiderivative Plotter: Accumulated Change, the Definite Integral in Terms of Areas 


Go to:  http://www.flashandmath.com/mathlets/calc/antplot/ (opens a new window)  
Description:  The applet illustrates the geometric interpretation of antiderivatives in terms of areas. It also illuminates the concept of accumulated change: the total change is the definite integral of the rate of change.
The user can enter a formula and the applet will graph an arbitrary function. The user can try to sketch the antiderivative of the function (with a given initial condition) by drawing on screen with the mouse. The actual graph of the antiderivative is revealed point by point as the user drags a slider. At the same time, the area corresponding to the value of the antiderivative is dynamically shaded. Many demo examples are provided. The applet will display antiderivatives of functions handdrawn by the user as well as those defined by formulas. 

Technology Type:  Flash  
Author:  Barbara Kaskosz  
Language:  English  
Cost:  Does not require payment for use  
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Courses:  Calculus  Finding specific antiderivs., Modeling, including exp. fcns.  
