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Antiderivatives and Indefinite Integrals

Antiderivatives and Indefinite Integrals
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2015-09-29 09:35
CalculusDerivativeIntegral
This example illustrates the concept of indefinite integrals and their geometric interpretation. It uses FitPoly, Point, Integral, and other GeoGebra commands to demonstrate the relationship between antiderivatives and derivatives. Suitable for calculus courses focusing on differentiation and integration.

GeoGebra Commands & Parameters

  1. FitPoly({A, B, C, D}, 5) → f
  2. FitPoly({A, B, C, D}, 3) → g
  3. Point(xAxis) → E
  4. Point(xAxis) → F
  5. Integral(g, x(E), x(F)) → h
  6. Locus(G, F) → loc1
  7. Corner(1, 1) → P
  8. Corner(1, 2) → Q