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Demonstration of Sum Functions in Integration

Demonstration of Sum Functions in Integration
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2016-07-10 18:14
FunctionCoordinate GeometryIntegral
In collections ICME 13, TSG 16: A visual approach to calculus
This example demonstrates the process of sum functions in integration. Core mathematical concepts include functions, integration, and summation. Using GeoGebra commands such as Point, Segment, LowerSum, UpperSum, etc., the construction of the upper and lower sums of a function and its integral curve is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(f1) → S
  2. Segment(A, B) → d
  3. Textfield(f) → Textfeld2
  4. LowerSum(f, a, x(S), n) → Untersumme_n
  5. UpperSum(f, a, x(S), n) → Obersumme_n
  6. Integral(f, a, x(S)) → Integral_x
  7. Textfield(a) → Textfeld1
  8. Textfield(b) → Textfeld3
  9. Segment(S, XS) → q
  10. Segment(A, XS) → i
  11. Segment(XS, I_a) → r
  12. Segment(S, XS) → s
  13. Segment(A, XS) → t
  14. Locus(O_a, S) → Ortslinie1
  15. Locus(U_a, S) → Untersummenfunktion
  16. Locus(I_a, S) → Integralfunktion
  17. Segment(O_a, XS) → c
  18. Segment(U_a, XS) → e
  19. Segment(I_a, XS) → g