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Riemann Sum Calculator

Riemann Sum Calculator
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2017-04-18 23:58
FunctionCalculusIntegralGeometric ConstructionSlider Animation
This example demonstrates how to use Riemann sums to calculate the area under a curve, visualizing the sum of rectangle areas to approximate the definite integral. Core math concepts include definite integrals, upper and lower sums, logarithmic functions, intersections, complex numbers, subtraction, and 3D vectors. Construction highlights the use of GeoGebra commands and objects like Textfield, LeftSum, RectangleSum, Max, Min to build input boxes, compute left and right Riemann sums, and determine maximum and minimum values. Suitable for high school and above students learning calculus.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Textfield(a) → InputBox2
  3. Textfield(b) → InputBox3
  4. Textfield(n) → InputBox4
  5. LeftSum(f, a, b, n) → L
  6. RectangleSum(f, a, b, n, 1) → R
  7. Max(f, a, b) → YMax
  8. Min(f, a, b) → YMin

AI Drawing Prompt Reference

Draw a function graph with rectangles below it to approximate the definite integral, showing both left and right Riemann sums and marking the maximum and minimum values. Include input boxes at the top for the function, lower and upper limits, and number of rectangles, illustrating the integral calculation process.
The prompt above was compiled from the original drawing commands and is for reference only.