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Question Number 50407 by Abdo msup. last updated on 16/Dec/18

$$determinef\in C^0([0,1],R)verifying$$$${\int }_0^{1}f\left(x\right)dx=\frac{1}{3}+{\int }_0^1{\left(f\left(x^2\right)\right)}^{2}dx$$

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