Google Classroom
GeoGebra
GeoGebra Classroom
Sign in
Search
Google Classroom
GeoGebra
GeoGebra Classroom
GeoGebra
Home
Resources
Profile
Classroom
App Downloads
Riemann's example of a discontinuous integrable function
Author:
David Richeson
Topic:
Calculus
Bernhard Riemann gave this example of a function that is integrable despite being discontinuous on every open interval:
where
unless x is halfway between neighboring integers, in which case
GeoGebra
New Resources
Introduction
Isosceles Triangle: Quick Construction
Linear Cross Section Exercise
Supplementary Angles
Rose Curve - A Classical Construction
Discover Resources
Quadratic Function in Standard Form as Sum of Terms
The Celestial Sphere
equiltriangles
Superposition of waves
G.3.16.3 Indirect Measurement (Mirrors)
Discover Topics
Algebra
Multiplication
Exponent
Parabola
Subtraction