Question: Complex Analysis Let f(x) be a continuous function on [a, b]. If, for all (c, d) c [a, b], d f(x) dx = 0, prove

Complex Analysis

Complex Analysis Let f(x) be a continuous
Let f(x) be a continuous function on [a, b]. If, for all (c, d) c [a, b], d f(x) dx = 0, prove that f(x) = 0 in [a, b]. What would the extension of this to three dimensions look like? Can you sketch a proof

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