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Let f be a differentiable function from R to R such that |f(x) – f(y)| ≤ 2|x – y| 3/2 , for all x, y ∈ R. If f(0) = 1 then ∫ 1 0 2 dx ) x ( f is equal to :

1. 2
2. 2 1
3. 0
4. 1

Correct answer: 1

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