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2
questions
3
votes
1
answer
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Explicit value of $\operatorname{Li}_2(1/2-{\rm i}/2)$
When you ask Wolfram Alpha about the value of $\operatorname{Li}_{2}\left(1/2-{\rm i}/2\right)$ it gives you $$
\frac{5\pi^{2}}{96} -
\frac{\ln^{2}\left(2\right)}{8} +
{\rm i}\left[\frac{\pi\ln\left(2\...
0
votes
2
answers
150
views
Complex logarithms when computing real-valued integral
My question arise when I try to calculate real-valued integral, specifically, I want to evaluate the integral
\begin{equation} \int_0^1 \frac{\ln \left(\frac{x^2}{2}-x+1\right)}{x} dx
\end{equation}
...
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