A calculus problem by Utkarsh Singh

Calculus Level pending

\( Given\quad that\quad f(x)\quad =\quad f(2x)\quad =\quad f(4x)\quad =\quad f(8x)\quad and\quad so\quad on,\quad \\ and\quad also\quad given\quad that\quad f(0)\quad =0.\quad \\ Then\quad find\quad \int _{ -10 }^{ 10 }{ f(f(x))dx } \)

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