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Riemann Sums with Input Boxes

Riemann Sums with Input Boxes
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2018-01-18 06:08
FunctionCalculusIntegral
This example demonstrates the calculation and visualization of Riemann sums with dynamic adjustment via input boxes for interval division and function parameters. Key math concepts include Riemann sums, definite integrals, and function approximation. Construction highlights involve commands like LeftSum, RectangleSum, TrapezoidalSum, and objects such as Textfield, Integral, n, b, a, f, n_s, h, inputBox1, inputBox2 for parameter input and control. Suitable for high school and above students learning calculus concepts.

GeoGebra Commands & Parameters

  1. LeftSum(f, a, b, n) → h
  2. RectangleSum(f, a, b, n, 1) → j
  3. RectangleSum(f, a, b, n, 0.5) → l
  4. TrapezoidalSum(f, a, b, n) → o
  5. Textfield(f) → inputBox1
  6. Textfield(a) → inputBox3
  7. Textfield(b) → inputBox4
  8. Textfield(n) → inputBox2
  9. Integral(f, a, b) → c

AI Drawing Prompt Reference

Draw a function graph with dynamic visualization of left and right Riemann sums, adjustable via input boxes for interval division and function parameters, also show the trapezoidal sum and definite integral, all sums based on the same function and interval, with text boxes labeling the function and interval endpoints.
The prompt above was compiled from the original drawing commands and is for reference only.