Integral of $$$\frac{x^{2} - 1}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1}}$$$
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Find $$$\int \frac{x^{2} - 1}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx$$$.
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