GeoGebra
  • Create Lesson
GeoGebra
  • Home
  • News Feed
  • Resources
  • Profile
  • People
  • Classroom
  • App Downloads
About GeoGebra
Contact us: office@geogebra.org
Terms of Service – Privacy – License

© 2022 GeoGebra

Lower and Upper Sum

Author:
Magdalena
Use slider n in order to modify the number of rectangles used to calculate the lower and upper sum. 1. Compare the values of the upper sum / lower sum to the value of the integral for different values of slider n. What do you notice? 2. What happens to the difference of the upper and lower sum (a) if n is small (b) if n is big?

New Resources

  • Spring around torus
  • GAME Hit the coconut! - comparing decimals
  • Chapter-35-1: Integral
  • G_11.04 Inscribed angles and polygons
  • G_8.04 Solving right triangles

Discover Resources

  • Inverse Functions
  • Analytic Geometry - Unit 1
  • The general form y=mx+c
  • Points of Intersection 25
  • Angle Bisectors in a Triangle

Discover Topics

  • Functions
  • Combinatorics
  • Definite Integral
  • Ratios
  • Intersection

GeoGebra

  • About
  • Partners
  • GeoGebra on Tests
  • News Feed
  • App Downloads

Apps

  • Calculator Suite
  • Graphing Calculator
  • 3D Calculator
  • CAS Calculator
  • Scientific Calculator

Resources

  • Classroom Resources
  • Learn GeoGebra
  • Classroom
  • Geometry
  • Notes
  • Terms of Service Privacy License
  • Facebook Twitter YouTube