Approximating Area Using the Trapezium Rule

Approximating Area Using the Trapezium Rule
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2018-05-31 11:05
This example demonstrates approximating the area under a curve using the Trapezium Rule. Key mathematical concepts include integration and the Trapezium Rule. By drawing the function graph, adding trapezoids, and calculating the area, students can intuitively understand the concept of integration. GeoGebra commands used include Point, Textfield, TrapezoidalSum, and Integral. Suitable for high school mathematics, particularly calculus courses.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Textfield(f) → inputBox1
  4. TrapezoidalSum(f, x(A), x(B), strips) → a
  5. Integral(f, x(A), x(B)) → c