Question Number 194930 by mathlove last updated on 20/Jul/23
$$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{−{x}} {dx}=? \\ $$
Commented by DwaipayanShikari last updated on 20/Jul/23
$$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{−{x}} {dx}=\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} \:}+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{3}} }+... \\ $$