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  3. let f be the set of functions of the form f(x) = a

Let F be the set of functions of the form f(x) = A sin(x) +...

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Calculus

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Let F be the set of functions of the form f(x) = A sin(x) + B cos(2x), where A, B are some real constants. Show that there must exist exactly one function f in F so that for any f?F??(f(x)- arctan(x))dx? ??(f(x)- arctan(x))dx

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