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Applet for constructing antiderivative graph
User can draw a function $$f(x)$$ using a nice smoothing algorithm, then a simple slide interaction draws a rectangle whose height is given by the average value of the function from $$a$$ to $$b$$
Worksheets are provided with sample questions on investigating the Fundamental Theorem of Calculus.
GeoGebra combines capabilities of a dynamic geometry program (like GeoSketchpad or Cabri) with an equation grapher.
This maplet provides guided practice in the mechanics of geometric series, including determining if they converge and finding their sum when they do (with feedback and hints).
Students get to adjust the second segment of a piecewise linear function on an interval $$[a,b]$$ to make it continuous or not.
Graphs a function $$f (x)=g(x)h'(x)$$ and the area under the graph of $$f (x)$$ for a given interval, and shows the modifications made to $$f (x)$$ and the area when considering $$u=g(x)$$ and $$v Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface. This GeoGebra applet and accompanying activities illustrate the formal definition of a sequence of real numbers converging to a limit \(L$$ through a series of interactive exercises.

The applet shows graphically and numerically consecutive terms of a sequence or consecutive partial sums of a series.