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Author: Tinku Tara

Question-194412

Question Number 194412 by SaRahAli last updated on 05/Jul/23 Answered by som(math1967) last updated on 05/Jul/23 $$\:\int{ln}\left({lnx}\right){dx}+\int\frac{{dx}}{\left({lnx}\right)^{\mathrm{2}} } \\ $$$$={ln}\left({lnx}\right)\int{dx}−\int\left\{\frac{{d}}{{dx}}{ln}\left({lnx}\right)\int{dx}\right\}{dx} \\ $$$$\:\:+\int\frac{{dx}}{\left({lnx}\right)^{\mathrm{2}} } \\ $$$$={xln}\left({lnx}\right)−\int\frac{{xdx}}{{xlnx}}\:+\int\frac{{dx}}{\left({lnx}\right)^{\mathrm{2}}…

Question-194410

Question Number 194410 by necx122 last updated on 05/Jul/23 Commented by necx122 last updated on 05/Jul/23 $${I}'{ve}\:{dedicated}\:{sometime}\:{to}\:{solving}\:{the} \\ $$$${question}\:{but}\:{it}\:{seems}\:{as}\:{though}\:{some} \\ $$$${parameters}\:{are}\:{missing}.{Please}\:{help} \\ $$$${me}\:{out}.\: \\ $$…

Hi-Please-do-not-post-junk-content-in-this-forum-It-does-not-help-you-in-anyway-and-it-increases-our-effort-in-cleaning-up-

Question Number 194401 by Tinku Tara last updated on 05/Jul/23 $$\mathrm{Hi} \\ $$$$\mathrm{Please}\:\mathrm{do}\:\mathrm{not}\:\mathrm{post}\:\mathrm{junk}\:\mathrm{content}\:\mathrm{in} \\ $$$$\mathrm{this}\:\mathrm{forum}.\:\mathrm{It}\:\mathrm{does}\:\mathrm{not}\:\mathrm{help}\:\mathrm{you}\:\mathrm{in} \\ $$$$\mathrm{anyway}\:\mathrm{and}\:\mathrm{it}\:\mathrm{increases}\:\mathrm{our}\:\mathrm{effort}\: \\ $$$$\mathrm{in}\:\mathrm{cleaning}\:\mathrm{up}. \\ $$ Terms of Service Privacy…

Question-194350

Question Number 194350 by SaRahAli last updated on 04/Jul/23 Answered by MM42 last updated on 04/Jul/23 $$\mathrm{1}+\sqrt{−\mathrm{1}}=\mathrm{1}+{i}=\sqrt{\mathrm{2}}×{e}^{\frac{\pi}{\mathrm{4}}{i}} \\ $$$$\Rightarrow\left(\mathrm{1}+{t}\right)^{\mathrm{20}} =\mathrm{2}^{\mathrm{10}} ×{e}^{\mathrm{5}\pi{i}} =−\mathrm{1024}\:\checkmark \\ $$$$ \\…