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Definite Integral - Approximating Area Under Curve

Definite Integral - Approximating Area Under Curve
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2014-11-19 09:30
FunctionCalculusIntegral
This GeoGebra dynamic worksheet approximates the area under a curve using the upper and lower rectangle sums. It demonstrates the concept of definite integral, involving functions, integrals, and limits. By adjusting the number and position of rectangles, the process of integral calculation can be intuitively understood. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. LowerSum(f, Lowerlimit, Upperlimit, NoofRectangles) → Lowersum
  3. UpperSum(f, Lowerlimit, Upperlimit, NoofRectangles) → Uppersum
  4. Integral(f, Lowerlimit, Upperlimit) → Area
  5. LaTeX(Area, true, true) → text1
  6. LaTeX(Lowersum, true, true) → text2
  7. LaTeX(Uppersum, true, true) → text3
  8. Name(Lowerlimit) → A1_1
  9. Name(Lowerlimit) → A1
  10. Name(Upperlimit) → B1_1
  11. Name(Upperlimit) → B1