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Riemann Sums

Riemann Sums
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2020-04-17 01:44
TrigonometrySequenceIntegral
This example illustrates the concept of Riemann sums, showing how different types of Riemann sums (left, right, upper, lower) approximate the definite integral as the number of segments increases. Key mathematical concepts include definite integrals, inequalities, and trigonometric functions. GeoGebra commands used include Point, Sequence, RectangleSum, UpperSum, LowerSum, etc. Suitable for high school math education and learning calculus concepts.

GeoGebra Commands & Parameters

  1. Point(xAxis) → b
  2. Sequence(x(a), x(b), (1 / N * (x(b) - x(a)))) → l1
  3. RectangleSum(f, x(a), x(b), N, x(a)) → sum_{left}
  4. UpperSum(f, x(a), x(b), N) → sum_{upper}
  5. LowerSum(f, x(a), x(b), N) → sum_{lower}
  6. RectangleSum(f, x(a), x(b), N, t) → sum_{right}
  7. Textfield(f) → InputBox1
  8. Point(xAxis) → d
  9. LowerSum(f, x(a), x(d), K) → crappy_{left}
  10. LowerSum(f, x(d), x(b), L) → crappy_{right}
  11. LowerSum(f, x(a), x(b), N) → sumsum_{lower}
  12. UpperSum(f, x(a), x(b), N) → sumsum_{upper}
  13. Integral(f, x(a), x(b)) → i