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Compare Left and Right Hand Riemann Sums

Compare Left and Right Hand Riemann Sums
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2019-08-06 09:35
FunctionCalculusGeometric Construction
This example demonstrates how to use GeoGebra to compare left and right hand Riemann sums for a function. Key math concepts include Riemann sums, upper and lower sums, rectangle sums, and vectors. Construction highlights include commands like Point, LeftSum, RectangleSum, and Segment. Suitable for high school and above students to visually understand the concept and calculation of Riemann integration.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. LeftSum(f, x(A), x(B), n) → e
  4. RectangleSum(f, x(A), x(B), n, 1) → h
  5. Segment((x(A), 0), (x(A), f(x(A)))) → l
  6. Segment((x(B), 0), (x(B), f(x(B)))) → m