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Does there exist a function f:[−1,1]→R f: [ -1, 1 ] \rightarrow \mathbb{R} f:[−1,1]→R that is not Riemann integrable, but f2 f^2 f2 (defined as f2(x)=(f(x))2f^2(x) = (f(x))^2f2(x)=(f(x))2 for all xxx) is Riemann integrable?
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