Indefinite Integral Definition and Calculation Example

This GeoGebra example demonstrates how to compute the indefinite integral (antiderivative) of a function. Users can input any function f(x) through InputBox1, and the tool automatically calculates its indefinite integral using the Integral command, displaying the result along with the constant of integration C. The core mathematical concepts covered include: the definition of indefinite integrals, the inverse relationship between derivatives and antiderivatives, and the meaning of the constant of integration. Construction details: InputBox1 accepts user-defined functions, the Integral() command performs symbolic integration, Textfield displays the integration results, and variable a represents the integration constant. Suitable for high school students learning derivatives and basic integration, or college students in introductory calculus courses, useful for understanding indefinite integral concepts, verifying integration results, and exploring integration patterns of various functions.