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Graph of a Function Defined by a Definite Integral

Graph of a Function Defined by a Definite Integral
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2015-01-09 00:53
FunctionCalculusIntegralProbability & StatisticsGraphing
This example demonstrates how to draw the graph of a function defined by a definite integral. Key math concepts include definite integral, function graph, and integration over the interval [a,b]. Construction highlights involve using GeoGebra commands/objects like Point, OrthogonalLine, Integral, and Textfield. Suitable for high school and above students to learn about the application of definite integrals and function graphing.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. OrthogonalLine(A, xAxis) → a
  3. Integral(f, 0, x(A)) → b
  4. Textfield(f) → inputBox1
  5. Textfield(xmin) → inputBox2
  6. Textfield(xmax) → inputBox3
  7. Textfield(ymin) → inputBox4
  8. Textfield(ymax) → inputBox5

AI Drawing Prompt Reference

Draw the graph of a function defined by a definite integral. Start by taking a point A on the x-axis, then draw a perpendicular line a through A. Calculate the definite integral b from 0 to the x-coordinate of A. Input the function expression through inputBox1 and set the x-axis and y-axis range via inputBox2 to inputBox5.
The prompt above was compiled from the original drawing commands and is for reference only.