|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 hand-drawn by the user as well as those defined by formulas.
|Cost:||Does not require payment for use|
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|Courses:||Calculus||Finding specific antiderivs., Modeling, including exp. fcns.|