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0-ln-x-2-x-x-1-x-dx-

Question Number 151519 by talminator2856791 last updated on 21/Aug/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{ln}\left(\lfloor{x}^{\mathrm{2}} \rfloor!\right)}{\:\left({x}^{{x}} +\mathrm{1}\right)^{{x}} }\:{dx} \\ $$$$\: \\ $$ Terms of Service Privacy…

log-x-1-x-x-dx-

Question Number 151501 by talminator2856791 last updated on 21/Aug/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\:\left(\mathrm{log}\:{x}\:+\:\mathrm{1}\right){x}^{{x}} \:{dx} \\ $$$$\: \\ $$ Answered by puissant last updated on 21/Aug/21 $${K}=\int\left(\mathrm{1}+{lnx}\right){x}^{{x}}…