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Definite Integral as a Function - FTC I

Definite Integral as a Function - FTC I
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2019-01-11 21:15
FunctionCalculusIntegral
This example demonstrates the concept of a definite integral as a function using the Fundamental Theorem of Calculus I. It involves key mathematical concepts such as definite integrals and functions. The construction uses the Integral command in GeoGebra, along with InputBox1 and Textfield objects for dynamic adjustments. Suitable for high school mathematics education and students learning the Fundamental Theorem of Calculus.

GeoGebra Commands & Parameters

  1. Integral(f, 0, b) → a
  2. Integral(f) → g
  3. Textfield(f) → InputBox1

AI Drawing Prompt Reference

Draw the definite integral graph of a function f(x), showing the definite integral a of f(x) over the interval [0, b] and the definite integral g of f(x) over its entire domain. Use an input box to dynamically adjust the value of b and display the value of the integral a. Also, input the expression of function f(x) in a text field.
The prompt above was compiled from the original drawing commands and is for reference only.