Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx.
is f integrable on [0,1]?
the first integration is upper sums and the second is lower sums© BrainMass Inc. brainmass.com March 4, 2021, 9:25 pm ad1c9bdddf
We consider an arbitrary partition .
Let , .
In each interval , ...
Riemann integration for rational and irrational numbers are examined. This provides an example of working with Riemann integration.