If \( \int \frac{3 x^{2}+2 x}{x^{6}+2 x^{5}+x^{4}+2 x^{3}+2 x^{2}+5} d x=f(x) \), then the value...

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If \( \int \frac{3 x^{2}+2 x}{x^{6}+2 x^{5}+x^{4}+2 x^{3}+2 x^{2}+5} d x=f(x) \), then the value of \( [f(1)-f(0)] \), where [.] represents the greatest integer function, is
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