function loves integral

Calculus Level 4

\(a\quad function\quad f\quad satisfies\quad f\left( x \right) =f(c/x)\quad for\quad some\quad real\quad number\\ c(>1)\quad and\quad all\quad positive\quad number\quad x.\quad \\ if\quad \int _{ 1 }^{ \sqrt { c } }{ f\left( x \right) /x\quad dx } =3\quad ,then\quad \int _{ 1 }^{ c }{ f(x)/x\quad dx } \quad equals?\) please post a solution .

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