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Fermat's Method of Integration

Fermat's Method of Integration
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2019-03-08 15:22
CalculusIntegralGeometric Construction
This example demonstrates Fermat's method of integration, an ancient approach to integration. It involves key mathematical concepts such as definite integrals and integral calculus. Using GeoGebra commands like Sequence, Sum, and Textfield, a series of rectangles are constructed to approximate the area under a curve. Suitable for high school mathematics education and learning integral concepts.

GeoGebra Commands & Parameters

  1. Sequence((b * r^(i)), i, 0, n) → L_1
  2. Sequence((Element[L_1, i], f(Element[L_1, i])), i, 1, n) → L_2
  3. Sequence(Polygon[(Element[L_1, i], 0), Element[L_2, i], (Element[L_1, i + 1], y(Element[L_2, i])), (Element[L_1, i + 1], 0)], i, 1, n) → L_3
  4. Sum(L_3) → Rect
  5. Textfield(n) → InputBox1