Normal Distribution Curve and Integral Area Demonstration

① This GeoGebra example dynamically displays the probability density function curve of a normal distribution and uses definite integrals to compute the area under the curve over a specified interval, visually illustrating the probabilistic meaning of the normal distribution. ② Core mathematical concepts include the normal distribution, probability density function, the influence of mean and standard deviation (σ) on the curve shape, and the relationship between definite integrals and probability areas. ③ Construction highlights: from the summary, the Integral command is used to compute the integral area, with objects such as High, Low, mean, σ, f, a, A, text1, B, and text2 defined. Here, f is the normal density function, a may be the lower or upper limit of integration, A and B likely represent area values and corresponding text labels, and sliders or inputs allow dynamic parameter adjustment. ④ Suitable for high school to undergraduate courses in probability & statistics and calculus, useful for understanding normal distribution properties, z-scores, probability calculations, and the application of integrals in geometry and statistics.