Second Fundamental Theorem of Calculus: Visual Link Between Definite Integrals a

This GeoGebra example visually demonstrates the Second Fundamental Theorem of Calculus: defining a function by a definite integral with a variable upper limit, then relating it to an antiderivative via differentiation. It emphasizes the key ideas of definite integrals, antiderivatives, and the inverse relationship between differentiation and integration, with the geometry of changing limits helping users track how the derivative behavior emerges. Construction is driven by GeoGebra’s Integral command to build the integral-defined function (with variable bounds controlled by inputs), Textfield to provide interactive parameters for the limits or integrand setup, and Segment to draw the interval endpoints that clarify the role of the integration range. Suitable for advanced high-school enrichment and introductory university calculus, especially for teaching and exploratory visualization.