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