Inverse of sin(2x) and Integral Demonstration

This GeoGebra example demonstrates the graph of the inverse of the sine function sin(2x) and its relationship with integrals. Core mathematical concepts include inverse trigonometric functions, function graphing, integration, and derivatives. The construction uses the Intersect command to find intersection points and the Integral command to compute areas, involving objects b, f, g, g', A, and a, where f and g likely represent the original and inverse functions, g' is the derivative, and A is an area point. Suitable for high school or early college students to explore inverse functions and integration, and for introductory calculus teaching.