Area Between Inverse Power Functions and Infinite Limits

This example demonstrates the calculation of the area between two power functions that are inverses of each other, f(x)=x^{1/n} and g(x)=x^n. Key math concepts include integration, limits, and inverse function properties. The construction uses GeoGebra commands like IntegralBetween with objects such as n, f, g, and a to visualize dynamic changes. Suitable for high school students and calculus education.