Defining a Numerical Integral with Locus, Sort, and DataFunction
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This example demonstrates how to transform a numerical integral into a function using GeoGebra commands like Locus, Sort, and DataFunction. Core math concepts involved include definite and indefinite integrals, cosine, and trigonometric functions. Key construction steps involve using commands such as NIntegral for integration, Locus for trajectory generation, and Length, First, Sort for data manipulation, with objects like f, c_1, a, b, A, loc1, c, l1, sorted, xList, yList, F, B. Suitable for high school and above students learning about integral concepts in calculus.
GeoGebra Commands & Parameters
NIntegral(f, 0, a) → bLocus(A, a) → loc1Length(loc1) → cFirst(loc1, c) → l1Sort(l1) → sorted