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Area Between Functions

Area Between Functions
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2017-03-07 06:53
FunctionCalculusIntegral
This example demonstrates how to calculate the area between two functions using GeoGebra. Key mathematical concepts include functions, integrals, and area. Commands such as SelectedElement, Integral, and IntegralBetween are used to construct the area between the functions. Suitable for high school and above students learning calculus and function-related knowledge.

GeoGebra Commands & Parameters

  1. SelectedElement(DropDownList) → g
  2. Integral(g, x(A), x(B)) → CurveAB
  3. Integral(f, x(A), x(B)) → LineAB
  4. IntegralBetween(f, g, x(A), x(B)) → TotalArea
  5. Integral(abs(f(x) - g(x)), x(A), x(B)) → TotalSolution
  6. Integral(g, x(A), x(C)) → CurveAC
  7. Integral(g, x(C), x(B)) → CurveCB
  8. Integral(f, x(A), x(C)) → LineAC
  9. Integral(f, x(C), x(B)) → LineCB
  10. Text(("f(x) = " * f)) → text1
  11. Text(("g(x) = " * g)) → text2
  12. Text("Integrals of f(x)") → text4
  13. Text("Integrals of g(x)") → text5
  14. Text(LineAB) → text6
  15. Text(LineAC) → text7
  16. Text(LineCB) → text8
  17. Text(CurveAB) → text9
  18. Text(CurveAC) → text10
  19. Text(CurveCB) → text11
  20. Text("Enclosed area" = TotalSolution) → text12
  21. Text("Enclosed area") → text13
  22. Text("Use integration to calculate the area") → text14
  23. Text("enclosed between the line and curve") → text15
  24. Text("Change red curve to another function") → text3
  25. Text("once you've finished the first one") → text16
  26. Text("- Use the checkboxes to visualise calculations") → text20