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Area Between Curves Calculator - Calculus Visualization

Area Between Curves Calculator - Calculus Visualization
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2016-07-04 09:57
FunctionCoordinate GeometryCalculusIntegralGraphing
This applet demonstrates calculating the area between two curves using definite integrals. Key concepts include calculus, integration, function graphs, and geometric area. Construction utilizes GeoGebra commands like IntegralBetween, Point, Segment, and Textfield to create an interactive visualization. Ideal for high school or college calculus students to explore integration techniques and verify area calculations dynamically.

GeoGebra Commands & Parameters

  1. Point(y = 0) → A
  2. Point(y = 0) → B
  3. Point(LowerCurve) → C
  4. Segment((x(C), LowerCurve(x(C))), (x(C), UpperCurve(x(C)))) → IntUnit
  5. IntegralBetween(UpperCurve, LowerCurve, x(A), x(C)) → AreaSoFar
  6. Textfield(LowerCurve) → BoxLowerCurve
  7. Textfield(UpperCurve) → BoxUpperCurve
  8. IntegralBetween(UpperCurve, LowerCurve, x(A), x(B)) → AreaFull
  9. Textfield(xMin) → xMinBox
  10. Textfield(xMax) → xMaxBox
  11. Textfield(yMin) → yMinBox
  12. Textfield(yMax) → yMaxBox