[Step-by-Step] Given the decomposition (2x^3-2x^2+3x-4)/((x^2+1)(x^2+2))=(x-2)/(x^2-1)+(x)/(x^2+2) find
Question: Given the decomposition
\[\frac{2{{x}^{3}}-2{{x}^{2}}+3x-4}{\left( {{x}^{2}}+1 \right)\left( {{x}^{2}}+2 \right)}=\frac{x-2}{{{x}^{2}}-1}+\frac{x}{{{x}^{2}}+2}\]find
\[\int{\frac{2{{x}^{3}}-2{{x}^{2}}+3x-4}{\left( {{x}^{2}}+1 \right)\left( {{x}^{2}}+2 \right)}dx}\]
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