Sum Bounds for Definite Integrals
Loading the math board and drawing, please wait…
This example demonstrates how to approximate definite integrals using rectangles by changing the value of n to increase the number of rectangles and selecting whether to show upper and lower bounds. Core math concepts include definite integrals, sequences, arithmetic, and polygons. It uses GeoGebra commands like Sequence and objects such as f, g, n, UpperF, UpperInt, LowerF, LowerInt, Values, a, and b. Suitable for high school and above students learning calculus.
GeoGebra Commands & Parameters
Sequence(If[i ≤ x ≤ i + 1,f(i)], i, 1, n) → UpperFSequence(Integral[Element[UpperF, i], i, i + 1], i, 1, n) → UpperIntSequence(If[i ≤ x ≤ i + 1,f(i + 1)], i, 1, n) → LowerFSequence(Integral[Element[LowerF, i], i, i + 1], i, 1, n) → LowerIntSequence((i, f(i)), i, 1, n + 1) → Values