Trapezium Rule Numerical Integration Demo by Phil Ramsden
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This example demonstrates the Trapezium Rule for approximating definite integrals. Core concepts include numerical integration, Riemann sums, and trapezoid area formulas. Construction utilizes the GeoGebra TrapezoidalSum command with function f, interval [a, b], and slider n for partition count. Suitable for calculus students to visualize approximation accuracy.
GeoGebra Commands & Parameters
TrapezoidalSum(f, a, b, n) → c
AI Drawing Prompt Reference
Create a diagram illustrating numerical integration using the trapezoidal rule. Show a smooth continuous curve on a coordinate plane, with a marked interval on the x-axis divided into several equal subintervals. Above each subinterval, draw a trapezoid whose top side follows the curve and bottom side lies on the axis, filling the area under the curve. Include a slider control that adjusts the number of subintervals, causing the trapezoids to become finer or coarser, demonstrating how approximation accuracy improves with more partitions.
The prompt above was compiled from the original drawing commands and is for reference only.