Question Number 172889 by Gbenga last updated on 02/Jul/22 $$\int_{\mathrm{0}} ^{\infty} \boldsymbol{\mathrm{tanh}}^{−\mathrm{1}} \left(\boldsymbol{\mathrm{sinh}}\left(\boldsymbol{\mathrm{x}}\right)\right)\boldsymbol{\mathrm{dx}} \\ $$$$\boldsymbol{\mathrm{small}}\:\boldsymbol{\mathrm{laplace}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 107328 by mathdave last updated on 10/Aug/20 Commented by mnjuly1970 last updated on 10/Aug/20 Commented by mnjuly1970 last updated on 10/Aug/20 Commented by…
Question Number 107315 by Algoritm last updated on 10/Aug/20 Commented by bemath last updated on 10/Aug/20 $$\frac{\mathrm{1}}{\mathrm{2020}−\sqrt{\mathrm{2020}^{\mathrm{2}} −\mathrm{1}}}=\:{a}+{b}−\mathrm{2}\sqrt{{ab}} \\ $$$$\frac{\mathrm{2020}+\sqrt{\mathrm{2020}^{\mathrm{2}} −\mathrm{1}}}{\mathrm{2020}^{\mathrm{2}} −\left(\mathrm{2020}^{\mathrm{2}} −\mathrm{1}\right)}\:=\:{a}+{b}−\mathrm{2}\sqrt{{ab}} \\ $$$$\mathrm{2020}+\sqrt{\mathrm{2020}^{\mathrm{2}}…
Question Number 172839 by DAVONG last updated on 02/Jul/22 $$\mathrm{I}=\int\frac{\mathrm{1}}{\mathrm{lnx}}\mathrm{dx}=? \\ $$ Answered by puissant last updated on 02/Jul/22 $${I}=\int\frac{\mathrm{1}}{{lnx}}{dx}\:;\:\:{x}={e}^{{u}} \:\Rightarrow\:{dx}={e}^{{u}} {du} \\ $$$${I}=\int\frac{{e}^{{u}} }{{u}}{du}\:=\:\int\underset{{n}\geqslant\mathrm{0}}…
Question Number 172838 by DAVONG last updated on 02/Jul/22 $$\mathrm{1}.\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\mathrm{x}−\mathrm{1}−\mathrm{lnx}}{\mathrm{x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{1}}\:=\:? \\ $$ Commented by cortano1 last updated on 02/Jul/22 $$\:\:=\:\underset{{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{t}−\mathrm{ln}\:\left({t}+\mathrm{1}\right)}{{t}^{\mathrm{2}} }\: \\…
Question Number 107275 by mathdave last updated on 09/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 107279 by mathdave last updated on 09/Aug/20 Commented by Dwaipayan Shikari last updated on 10/Aug/20 $$\mathrm{As}\:\mathrm{x}\rightarrow\mathrm{0} \\ $$$$\mathrm{tanx}\rightarrow\mathrm{x} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{} } }…
Question Number 107272 by mathocean1 last updated on 09/Aug/20 Answered by Dwaipayan Shikari last updated on 09/Aug/20 $$\left(\mathrm{3}+\mathrm{8}\right).\mathrm{4} \\ $$$$\left(\mathrm{9}+\mathrm{7}\right).\mathrm{2} \\ $$$$\left(\mathrm{8}+\mathrm{7}\right).\mathrm{5} \\ $$$$\mathrm{Answer}\:\mathrm{is}\:\mathrm{5} \\…
Question Number 41726 by Necxx last updated on 11/Aug/18 $${Tank}\:{T}_{\mathrm{1}} \:{and}\:{T}_{\mathrm{2}} \:{initially}\:{contains} \\ $$$$\mathrm{100}{gal}\:{of}\:{water}\:{each}.{In}\:{T}_{\mathrm{1}} \:{the} \\ $$$${water}\:{is}\:{pure},{whereas}\:\mathrm{150}{lb}\:{of} \\ $$$${fertilizer}\:{are}\:{dissolved}\:{in}\:{T}_{\mathrm{2}} .{By} \\ $$$${circulating}\:{liquid}\:{at}\:{a}\:{rate}\:{of} \\ $$$$\mathrm{1}{gal}/{min}\:{and}\:{stirring}\:{the}\:{amount} \\…
Question Number 107254 by ZiYangLee last updated on 09/Aug/20 Commented by bemath last updated on 10/Aug/20 $${qn}\:\mathrm{106996} \\ $$ Terms of Service Privacy Policy Contact:…