已知函数f(x)f(x)f(x)在区间[0,2][0,2][0,2]上连续，且满足f(x)=2x−12∫01f(x)dxf(x)=2x-\dfrac{1}{2}\int_{0}^{1}f(x)dxf(x)=2x−21∫01f(x)dx，求f(x)f(x)f(x).
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