## Problem of the Week 1238## Change of Base
Define f from [0, 1] to [0, 1] by taking a real x, writing it in For example, f(1/3) = f(0.010101...) = 1/99. What is the integral of f from 0 to 1? You may assume that f is Riemann integrable (this is so because there are countably many discontinuities). Source: The problem is Problem 6 on the 2014 University of Illinois Math Contest. Heard from Keith Kearnes, Univ. of Colorado. |

17 May 2017