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Net-signed area function

Author:
Mitch Keller
Topic:
Area
Move the slider to see how the area under the graph of f(t) (shaded in brown) changes and how the point (x,A(x)) on the blue graph of A(x) tracks with that area. Pay particular attention to how the sign of f connects to increasing/decreasing behavior of A as well as what you can find about the concavity of A from the graph of f.

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