Area of the Region Between Two Function Graphs

① This example demonstrates how to compute and visualize the area of the region enclosed between two function curves over a given interval. ② The core mathematical concept is the application of definite integrals in geometry: the area between f(x) and g(x) on [a,b] equals ∫|f(x)-g(x)|dx, involving function graphs, interval partitioning, and the relationship between approximate and exact area. ③ Construction highlights: GeoGebra commands such as Integral (for intF and intG), Segment (for boundary segments), Sequence (to generate vertical stripes), Textfield and InputBox (for entering functions and endpoints), checkboxes (showBetween, showIntF, showIntG) to toggle displays, and buttons (button1, button2) for explanations or reset. ④ Suitable for high school to early college calculus instruction, helping students intuitively grasp area via definite integrals, handling sign differences of functions, and comparing numerical approximations with exact values.