Question Number 97089 by Mathudent last updated on 06/Jun/20
$${solve}\:\:\int{x}^{{x}} \left(\mathrm{1}+\mathrm{ln}\:{x}\right){dx}\:. \\ $$
Answered by M±th+et+s last updated on 06/Jun/20
$${let}\:{x}^{{x}} ={u}\:\:\:\:{du}={x}^{{x}} \left(\mathrm{1}+{ln}\left({x}\right)\right){dx} \\ $$$$\int{du}={u}+{c} \\ $$$$\int{x}^{{x}} \left(\mathrm{1}+{ln}\left({x}\right)\right){dx}={x}^{{x}} +{c} \\ $$
Commented by Mathudent last updated on 06/Jun/20
thank you
Commented by M±th+et+s last updated on 06/Jun/20
$${you}\:{are}\:{welcome} \\ $$