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Let f(x) be a real function not identica...

Let `f(x)` be a real function not identically zero in `z` such the `f(x+y^(z+1))=f(x)+(f(x))^(2+1) , n in N and x,y in R. if f'(0) >= 0` then `6 int_0^1f(x)dx` is equal to :

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