Integral Calculation Demo (UpperSum, LowerSum, Integral)
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ICME 13, TSG 16: A visual approach to calculus
This example demonstrates how to approximate definite integrals using UpperSum and LowerSum, visually illustrating the geometric meaning of integration. Key math concepts include definite integrals, UpperSum, LowerSum, function graphs, and interval partitioning. Construction highlights involve commands like Segment, Textfield, LowerSum, UpperSum, TrapezoidalSum, Integral in GeoGebra, with a slider n controlling partition count for dynamic approximation visualization. Suitable for high school and university students learning basic calculus concepts or instructors demonstrating integral ideas.
GeoGebra Commands & Parameters
Segment(A, B) → dTextfield(f) → Textfeld2LowerSum(f, a, b, n) → Untersumme_nUpperSum(f, a, b, n) → Obersumme_nTextfield(a) → Textfeld1Textfield(b) → Textfeld3TrapezoidalSum(f, a, b, n) → Trapez_nIntegral(f, a, b) → I_b