More on Indefinite Integrals
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This example demonstrates how to use GeoGebra to draw the indefinite integral of a function f, and shows the area within the integral interval [a, b]. Core mathematical concepts include indefinite integral, function graph, trapezoid, volume, and expected value. Construction highlights the use of GeoGebra commands Integral and Locus, and objects f, a, b, A, loc1. Suitable for high school and above students to learn and understand the application of integrals in calculus.
GeoGebra Commands & Parameters
Integral(f, 1, a) → bLocus(A, a) → loc1
AI Drawing Prompt Reference
Draw the graph of a function and show its indefinite integral over the interval [a, b], with a trapezoid representing the area under the integral. First, plot the function curve, then calculate and draw the indefinite integral from 1 to a, and finally use the Locus feature to display the path of the upper limit a, highlighting the application of integral, function, and calculus concepts.
The prompt above was compiled from the original drawing commands and is for reference only.