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Area of Rectangle Under the Curve

Area of Rectangle Under the Curve
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2017-02-03 09:50
FunctionCoordinate GeometryCalculus
This example demonstrates how to calculate the area under a curve by constructing a rectangle. Key mathematical concepts include the area of a rectangle and the area under a curve. It uses GeoGebra commands such as Point, OrthogonalLine, Intersect, Mirror, Polygon, and PointIn. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. OrthogonalLine(B, xAxis) → g
  3. Intersect(f, g, (-0.7065992961241031, 0.606965961996603)) → A
  4. Mirror(g, yAxis) → g'
  5. Intersect(f, g', (0.7065992961241031, 0.606965961996603)) → D
  6. Intersect(g', xAxis) → C
  7. Polygon(A, B, C, D) → poly1, a, b, c, d
  8. PointIn(poly1) → Pointpoly1