Volume of Solid of Revolution via Definite Integral

This example demonstrates how to calculate the volume of a solid of revolution by using definite integrals. Key mathematical concepts: ①the volume formula V=π∫f²(x)dx for solids generated by rotating a curve around the x-axis; ②methods for calculating volumes when rotating about different axes; ③application of the Fundamental Theorem of Calculus in geometry. Construction details: Based on the construction summary, function objects f(x) and g(x) define the boundary curves, while parameter a (slider) controls the rotation interval or curve shape for dynamic visualization. Suitable for high school mathematics or university calculus courses, useful for teaching geometric applications of integrals and helping students understand the "method of indivisibles" for volume calculation.