If \( \int \frac{3 x^{2}+2 x}{x^{6}+2 x^{5}+x^{4}+2 x^{3}+2 x^{2}+5...
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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 find the value of \( [F(1)-F(0)] \), where [.] represents
P greatest integer function.
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