Visualizing Function Integration and Riemann Sums

This interactive example demonstrates the relationship between the definite integral of a function over an interval and its upper and lower Riemann sums. It illustrates key calculus concepts: the definition of the definite integral as the limit of Riemann sums, approximation via partitioning, and the geometric interpretation of integration as area under a curve. Constructed using GeoGebra commands Point, UpperSum, LowerSum, and Integral, it defines a function f, interval endpoints A and B, a slider-controlled partition number n, and computes uppersum, lowersum, their difference (diff), and the antiderivative F. Ideal for high school or early university students learning integral calculus, this tool provides visual insight into numerical integration and convergence.