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If int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x...

If `int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)`dx = F(x), then find the value of `F(1)-F(0)`, where [.] represents greatest integer function.

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