Show that f R*[a, b] with integral L if and only if for every > 0 there exists a gauge ge on [a,

Show that f ˆˆ R*[a, b] with integral L if and only if for every ε > 0 there exists a gauge ge on [a, b] such that if = {([xi-1, xi), ti)}ni=1 is any tagged partition such that 0 γε(ti) for i = 1, . . . , n, then |S(f, P) - L|

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