In this section, we derive the formula 5.1.1 $$\begin{array}{lll}{\int^1_0}\frac{dx}{x^x}&=\sum^\infty_{n=1}\frac{1}{n^n}\\&=\frac{1}{1^1}+\frac{1}{2^2}+\frac{1}{3^3}+\cdots .\end{array}$$ Along the way we meet Euler’s gamma function and the monotone convergence theorem, both of which play roles in subsequent sections.
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Hijab, O. (2016). Applications (pp. 193–275). https://doi.org/10.1007/978-3-319-28400-2_5
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