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For all continuous functions \(f:[0,1]\rightarrow \mathbb{R}\), let

\[K_f=\int_0^1 x^2 f(x) ~\text{d}x\]

\[L_f=\int_0^1 x (f(x))^2~\text{d}x\]

The maximum value of \(K_f-L_f\) over all such functions can be represented as \(\dfrac a b\). Find \(a+b\).

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