Is there a closed-form expression (possibly in terms of special functions) for the integral: $$ \int_{0}^{\infty} e^{-a t}\log(t)\log(1+t)\,dt, $$ where $a>0$?
2026-04-08 11:24:48.1775647488
Definite integral $\int_{0}^{\infty} e^{-a t} \log(t)\log(1+t)\,dt$
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