EDB — 1C2

\begin{align} ∫_ 0^ 1 x^{-x}\, dx & = ∑_{n=1}^∞ n^{-n}& & (=\sim 1.291285997\dots ) \\ {} ∫_ 0^ 1 x^ x \, dx & = ∑_{n=1}^∞ (-1)^{n+1}n^{-n} & & (=\sim 0.783430510712\dots ) \end{align}