2. Let f(x) = 1 for rational x and f(x) = 0 for irrational x. Show that if F is increasing and continuous on [a, b] and F(a) < F(b), then f is not F-integrable on [a, b].
2. Let f(x) = 1 for rational x and f(x) = 0 for irrational x. Show that if F is increasing and continuous on [a, b] and F(a) < F(b), then f is not F-integrable on [a, b].
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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