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Integral of a Sum of Functions

Integral of a Sum of Functions
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2016-05-29 01:16
FunctionCalculusIntegral
In collections Integration
This example demonstrates the integral of a sum of functions. It involves the concepts of function addition and integration. Using GeoGebra commands such as Point and IntegralBetween, the sum of functions' integral can be constructed. Suitable for high school mathematics education, particularly in calculus and functions.

GeoGebra Commands & Parameters

  1. Point(xAxis) → a
  2. Point(xAxis) → b
  3. IntegralBetween(f, 0, x(a), x(b), true) → a_1
  4. IntegralBetween(g, f, x(a), x(b), true) → c
  5. IntegralBetween(h, m, x(a), x(b), true) → e

AI Drawing Prompt Reference

Plot the graphs of functions f(x), g(x), and h(x), where f(x) is the sum of g(x) and h(x). First, select two points a and b on the x-axis, then calculate the integral of f(x) from a to b, followed by the integral of g(x) from a to b relative to f(x), and finally the integral of h(x) from a to b relative to m(x).
The prompt above was compiled from the original drawing commands and is for reference only.