Integral of $$$\frac{\ln\left(a^{2} + \ln^{2}\left(x\right)\right)}{x^{2} + 1}$$$ with respect to $$$x$$$
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Find $$$\int \frac{\ln\left(a^{2} + \ln^{2}\left(x\right)\right)}{x^{2} + 1}\, dx$$$.