Calculation of a double integral

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Can you help me to calculate this integral. $$\begin{align}I&=\int_{0}^{1}\frac{1}{x^2+1}\left(\int_{0}^{1}\frac{dy}{1+xy}\right)dx\\ &=\int_{0}^{1}\frac{ln(x+1)}{x(x^2+1)}dx\\ &=\ldots\end{align}$$ Its clear that this integral is integrable. Is there some specific technique to make the calculation? Thank you very much for your help.