Question: Suppose that f is a function on the interval [1, 3] such that -1 f (x) 1 for all x and 3

Suppose that f is a function on the interval [1, 3] such that -1 ≤ f (x) ≤ 1 for all x and ∫31 f (x) dx = 0. How large can ∫31 f (x)/x dx be?

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Since 1 fx 1 for all x in 1 3 we have 3 1 dx 3 1 fx dx 3 1 dx Simplifying we get 2 3 1 fx dx 2 ... View full answer

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