Indefinite Integral Demo

Indefinite Integral Demo
Loading the math board and drawing, please wait…
2017-04-05 23:45
This example demonstrates the calculation and geometric meaning of indefinite integrals, showing dynamically the function graph and its antiderivative. Core math concepts include integration, functions, constants, and the fundamental theorem of calculus. Construction highlights use of GeoGebra commands/objects like Random, Simplify, Textfield, Integral, involving functions f, integral objects F, sliders, etc., suitable for high school and introductory college calculus students.

GeoGebra Commands & Parameters

  1. Random(-3, 3) → d
  2. Random(-3, 3) → c
  3. Random(-3, 3) → b
  4. Random(-3, 3) → a
  5. Simplify(RandomElement[flist]) → f
  6. Textfield(f) → inputBox1
  7. Integral(f) → af
  8. Random(-5, 5) → leftlim
  9. Random(leftlim + 1, 6) → rightlim
  10. Integral(f, leftlim, rightlim) → ans