Suppose that the function f:[a,b]->R is integrable and there is a postive number m such that f(x) >= m for all x in [a,b]. Show that the reciprocal function 1/f:[a,b]->R is integrable by proving that for each partition P of the interval [a,b],
U(1/f,P) - L(1/f,P) <= 1/m^2[U(f,P) - L(f,P)]© BrainMass Inc. brainmass.com November 29, 2021, 11:55 pm ad1c9bdddf
The reciprocal of a function is shown to be integrable using partitions.
The solution is detailed and well presented.