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Trapezium Rule Demonstration by Gemma Cliffe

Trapezium Rule Demonstration by Gemma Cliffe
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2015-04-29 01:16
FunctionCalculusIntegral
This example demonstrates the Trapezium Rule, a numerical integration method. By adjusting the function and interval, one can intuitively understand the calculation process of the Trapezium Rule. Core mathematical concepts include functions, integrals, and numerical methods. GeoGebra commands used include Integral, Textfield, Sequence, and TrapezoidalSum. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Integral(f, a, b) → I
  2. Textfield(f) → inputBox1
  3. Textfield(a) → inputBox2
  4. Textfield(b) → inputBox3
  5. Sequence(a + (b - a) * i / n, i, 0, n) → L_1
  6. TrapezoidalSum(f, a, b, n) → c
  7. Function(f, a, b) → fShow
  8. TableText({Append["", Sequence[i, i, 0, n]], Append[x, L_1], Append[y, L_y]}, "vc|_") → text4
  9. If(I < c, LaTeX["Overestimate"], LaTeX["Underestimate"]) → text4_1