Area Between Curves via IntegralBetween

This example visualizes the region enclosed by two functions over a chosen interval [a, b] and computes its area directly using GeoGebra’s integral tools. It demonstrates the geometric meaning of the definite integral as “area between curves”: for upper and lower functions f(x) and g(x), the area on [a, b] is given by ∫(upper − lower) dx. The construction uses function/parameter input fields (Textfield with objects such as g, f, InputBox1–InputBox4, and various text labels) to let users define the curves and the integration limits a and b, while geometric elements (line segments and auxiliary points/values like c, h, d) help highlight the interval boundaries. The key computation is performed with IntegralBetween (and Integral), producing the numeric/visual area for the selected configuration. Suitable for high-school advanced topics and early calculus courses, especially for teaching definite integrals, graph interpretation, and area-between-curves reasoning.