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Exercise

$\int\frac{2x^3+9x^2+14x+8}{x\left(x+2\right)\left(x^2+2\right)}dx$

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Final answer to the exercise

$2\ln\left|x\right|+5\cdot \left(\frac{1}{\sqrt{2}}\right)\arctan\left(\frac{x}{\sqrt{2}}\right)+C_0$

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