For real numbers \( \alpha, \beta, \gamma \) and \( \delta \) is \(...

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For real numbers \( \alpha, \beta, \gamma \) and \( \delta \) is
\( \mathrm{P}^{n a} \)
\[
\begin{aligned}
& \int \frac{\left(x^{2}-1\right)+\tan ^{-1}\left(\frac{x^{2}+1}{x}\right)}{\left(x^{4}+3 x^{2}+1\right) \tan ^{-1}\left(\frac{x^{2}+1}{x}\right)} d x \\
= & \alpha \cdot \ln \left(\tan ^{-1}\left(\frac{x^{2}+1}{x}\right)\right)
\end{aligned}
\]
\( \mathrm{W} \)
\( +\beta \tan \left(\frac{r\left(x^{2}+1\right)}{x}\right)+\delta \cdot \tan ^{-1}\left(\frac{x^{2}+1}{x}\right)+c \), where \( c \)
is an arbitrary constant, then the value of
\[
10(\alpha+\beta r+\delta)=
\]
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