Question Number 157138 by amin96 last updated on 20/Oct/21
$$\int_{\mathrm{0}} ^{\mathrm{1}} \boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} \left(\mathrm{1}−\boldsymbol{\mathrm{x}}\right)^{\mathrm{1}−\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{sin}}\left(\pi\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}}=? \\ $$
Commented by mindispower last updated on 20/Oct/21
$${hello}\:{source}\:{are}\:{you}\:{sir}\:{close}\:{form}\:{exist}\:? \\ $$
Commented by amin96 last updated on 20/Oct/21
$${hello}\:\:{answer}\:\:\frac{\pi{e}}{\mathrm{2}{x}} \\ $$
Commented by mindispower last updated on 20/Oct/21
$$\frac{\pi{e}}{\mathrm{2}{x}}?\:\:\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx}\:{not}\left[{possible}\:{sir}\right. \\ $$
Commented by amin96 last updated on 20/Oct/21
$$ \\ $$I can't get an answer either. I think there may be a mistake