Let f: [a,b] be mapped onto the Reals be a function that is integrable over [a,b] and let g: [a,b] be mapped onto the Reals be a function that agrees with f except at finitely many points. Is g integrable over [a,b]? Why or why not?© BrainMass Inc. brainmass.com March 4, 2021, 5:46 pm ad1c9bdddf
Solution. We just consider Riemman integral. In this case, the answer is that g may be integral or may not integral. Let's analyse as ...
This describes a function integrable over a given interval in the real numbers, and asks if a related function is also integrable over the same interval.