
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let f, g : [a, b] → R be two Riemann integrable functions such that
the set {x ∈ [a, b] : f(x) = g(x)} is dense in [a, b]. Show that the
f(x) dx = g(x) dx.
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