# Riemand integrable

prove if f(x)=1 if x= 1/n ,n is positive integer f(x)= 0 else, is Riemand integrable

on [0,1]

https://brainmass.com/math/integrals/riemand-integrable-449713

#### Solution Preview

Define

a. Prove that f is integrable on [0, 1] .

b. Calculate

Before proceeding for the proof of the problem, we prove the theorem

Theorem: Let f is a bounded function defined on [a, b] and let S be the set of points of discontinuity of f on [a, b]. if S has or as the only one limit point, then

Proof:

Let M=supremum ...

#### Solution Summary

The expert proves n is a positive integer for Riemand integrable.

$2.19