Riemann Sums and Definite Integral Interactive Visualization

① This example demonstrates how Riemann sums (left, right, midpoint, upper, and lower) approximate the definite integral of a function as the number of subintervals n increases. ② Core mathematical concepts include the definition of the definite integral, construction of Riemann sums, the limit process, and area approximation under a curve. ③ Construction highlights: GeoGebra commands such as Point, UpperSum, LowerSum, LeftSum, RectangleSum, and Integral are used to create the function, rectangles, and exact integral value; Textfield and InputBox allow interactive input of parameters; checkboxes control visibility of different sums. ④ Suitable for high school advanced students or early college calculus learners to grasp the relationship between Riemann sums and definite integrals, and also useful for classroom demonstrations by teachers.