# Another Functional Equation

Calculus Level pending

Let $$f : \mathbb{R} \rightarrow \mathbb{R^+}$$ be a function with the following property -$f(x)=\int_{0}^{x} \left[t-f(t)\right] \ \mathrm{d}t$

If $$f(0)=0$$, then find $\lfloor 100f(1) \rfloor$

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