Integrate \[ \int \frac{\left(x^{2}+1\right) d x}{\left(x^{2}+2\right)\left(2 x^{2}+1\right)} \]
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Integrate
\[
\int \frac{\left(x^{2}+1\right) d x}{\left(x^{2}+2\right)\left(2 x^{2}+1\right)}
\]
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