First picture of the Fundamental Theorem of Calculus
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Move the point with the slider and watch the coordinates of the point and the area of the slice change. Note that the area of the slice is approximately h*(y-coordinate of the point on the graph). This does not depend on the function f. |
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Second picture of the Fundamental Theorem of Calculus
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Second example of Fundamental Theorem of Calculus. |
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Note that as the slider is changed, A(x+h) - A(x) \approx h f(x) |