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Area Between Two Curves by Begoña

Area Between Two Curves by Begoña
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2016-02-02 18:27
FunctionIntegralGeometric Construction
This example demonstrates how to calculate the area between two curves. It involves core mathematical concepts such as functions and integrals. Using GeoGebra commands like Point, Sequence, and Sum, specific graphics can be constructed. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(xAxis) → A
  3. Sequence((i, f(i)), i, a, b, h) → L1
  4. Sequence((i, g(i)), i, a, b, h) → L2
  5. Sequence(Polygon[Element[L1, i], (x(Element[L1, i + 1]), y(Element[L1, i])), (x(Element[L2, i + 1]), y(Element[L2, i])), Element[L2, i]], i, 1, n) → LeftP
  6. Sum(LeftP) → LeftSum