# Integral of an Unknown Function

Calculus Level 3

Let $$f(x)$$ be a real-valued function continuous on $$\left[0,2\right]$$ such that $$f(x)=f(2x)$$ for all $$x$$. If $\int_0^1 f(x) dx = 100,$ then what is the value of $\int_0^2 f(x)dx ?$

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