The value of the definite integral \( \int_{\sqrt{2}-1}^{\sqrt{2}+1...

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The value of the definite integral \( \int_{\sqrt{2}-1}^{\sqrt{2}+1} \frac{x^{4}+x^{2}+2}{\left(x^{2}+1\right)^{2}} d x \) equals
\( \mathrm{P} \)
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