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Step-by-step Solution

Integral of $\frac{4x^2+2x+8}{x\left(x^2+2\right)^2}$ with respect to x

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Step-by-step explanation

Problem to solve:

$\int\frac{4x^2+2x+8}{x\left(x^2+2\right)^2}$

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Answer

$-\frac{61}{8}+x^2+14.3189\left(\frac{1}{2}\arctan\left(\frac{x}{\sqrt{2}}\right)+\frac{\frac{\sqrt{2}}{2}x}{x^2+2}\right)-\frac{15}{8}\ln\left|x^2+2\right|+C_0$