Area and Definite Integrals

Area and Definite Integrals
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2015-09-29 09:35
This example demonstrates how to use GeoGebra to plot a function and calculate its area using definite integrals. Key math concepts include definite integrals, function graphs, area calculation, and numerical integration methods (trapezoidal sum). It uses commands like Point, RectangleSum, Textfield, TrapezoidalSum, Integral. Suitable for high school and above students to understand the application and geometric meaning of definite integrals in calculus.

GeoGebra Commands & Parameters

  1. Point(l) → A
  2. Point(l) → B
  3. RectangleSum(f, x(A), x(B), n, d) → c
  4. RectangleSum(f, x(A), x(B), n, 1) → d_1
  5. Textfield(f) → inputBox1
  6. TrapezoidalSum(f, x(A), x(B), n) → e
  7. Integral(f, x(A), x(B)) → g