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Fundamental Theorem of Calculus by menchublancodelprado

Fundamental Theorem of Calculus by menchublancodelprado
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2019-06-06 19:32
FunctionCalculusIntegral
This example illustrates the Fundamental Theorem of Calculus, showing how to calculate the area under a function using integration. Key concepts include definite integrals, antiderivatives, and the Fundamental Theorem of Calculus. Commands used include Integral, Intersect, OrthogonalLine, Textfield, and Segment. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Integral(f, a, b) → área
  2. Intersect(f, q, (3.3352199659888395, 1.8262584608945251)) → D
  3. OrthogonalLine(D, xAxis) → i
  4. Intersect(i, xAxis) → E
  5. Textfield(f) → CasillaDeEntrada1
  6. Integral(f, a, X) → e
  7. Segment(A, T) → j
  8. Segment(C, Z) → g
  9. Segment(W, Z) → h
  10. Textfield(G) → InputBox1

AI Drawing Prompt Reference

Draw a function graph and label the integral interval [a, b]. Calculate and display the area under the curve using integration. From a point on the function, draw a perpendicular line to the x-axis, and from the intersection point, draw a horizontal line back to the function. Connect the start and end points of the function with a line segment, and also connect the upper limit point to the intersection point on the function. Label the function expression and the integral result.
The prompt above was compiled from the original drawing commands and is for reference only.