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Area Between Two Curves Introduction

Area Between Two Curves Introduction
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2018-02-21 18:02
FunctionTrigonometryIntegral
This example demonstrates how to calculate the area between two curves. Key mathematical concepts include integration and trigonometric functions. Using GeoGebra commands such as Intersect and Integral, the example constructs two curves and calculates the area between them. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(g, f) → A, O, B
  2. Integral(g, 0, x(B)) → PosArea
  3. Integral(f, 0, x(B)) → underArea
  4. OrthogonalLine(B, xAxis) → e
  5. Intersect(xAxis, e) → b
  6. Segment(O, b) → h
  7. Segment(B, b) → i
  8. Ray(O, b) → j
  9. OrthogonalLine(A, xAxis) → l
  10. Intersect(l, xAxis) → a
  11. Segment(a, A) → m_1
  12. Ray(O, a) → n
  13. Integral(g, x(A), 0) → negArea
  14. Integral(f, x(A), 0) → p
  15. Integral(g, 0, x(B)) → posArea2
  16. Integral(f, 0, x(B)) → underArea2