Area as Sum of Rectangles

This GeoGebra example dynamically illustrates the approximation of the area under a curve by summing the areas of multiple rectangles, serving as a visual introduction to Riemann sums and integral calculus. It demonstrates how increasing the number of rectangles improves the approximation, bridging geometric intuition with analytical definitions. Key mathematical concepts include area approximation, rectangle accumulation, limits, and the fundamental theorem of calculus. The construction utilizes GeoGebra commands such as Intersect, Sequence, Sum, Length, Line, and Segment, along with objects like variables for rectangle count (n), dimensions (a, b, h), and dynamic summation labels (LeftSum, text1–text4). It is suitable for high school calculus students, undergraduate mathematics learners, and teachers seeking an interactive tool for explaining integral concepts.