Trapezium Rule Numerical Integration Demo

This example demonstrates the Trapezium Rule (Trapezoidal Rule) for numerically approximating the area under a function curve. The core mathematical concepts involve definite integrals in calculus—partitioning the integration interval into equal subintervals and approximating each curvilinear trapezoid with a trapezoid; as the number of divisions increases, the approximation converges to the true integral value. Construction details: the GeoGebra TrapezoidalSum command is used together with function f, sliders for lower bound a, upper bound b, and division count n to create dynamic visualization; text objects (text1 through text6) display the current subdivision count, individual trapezoid areas, and total sum in real time; LaTeX renders formulas for clarity. Suitable for high school and undergraduate calculus courses, ideal for teaching numerical integration, Riemann sums, and limit concepts.