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Tagged with polylogarithm indefinite-integrals
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Tough quadrilogarithm integral
Solve the follolwing definite integral
$$\int \frac{\operatorname{Li}_4(z)}{1-z}\, dz$$
It is easy for lower powers!
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Closed-form for $\int_0^{a^2} \mathrm{Ei} (-s) \frac{1 - e^s}{s} ds$
In my partial answer to this question: Integral involving polylogarithm and an exponential, I arrive at the integral
$$ \int_0^{a^2} \mathrm{Ei} (-s) \frac{1 - e^s}{s} ds , ~~~~ (\ast) $$
where $a \in ...
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