Exercise 8.1.9

Question

Explain why every function that is Riemann-integrable with $\int^b_a f = A$ must also have generalized Riemann integral $A$.

Ulisse Mini · Accepted Answer

For a given $\epsilon > 0$, we can simply use the gauge $\delta(x) = \delta$, at which point the Riemann integral and generalized Riemann integral are equivalent.

Exercise 8.1.9

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Exercise 8.1.9

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