Dynamic Demonstration of Cubic Function Definite Integral with Riemann Sum Appro

This example demonstrates the dynamic calculation process of definite integral for cubic functions, using GeoGebra's UpperSum and LowerSum commands to intuitively visualize how Riemann sums approximate the integral value. Core mathematical concepts include the definition of definite integral, the relationship between Riemann sums and integral values, and characteristics of cubic function graphs. Construction details: Use f(x)=x³ type cubic function, create points A and B to define the integration interval, control partition number with slider n, dynamically generate upper and lower sum rectangles, visualize the convergence process as n increases. Suitable for high school optional calculus teaching and university-level definite integral concept demonstration.