Question Number 36181 by prof Abdo imad last updated on 30/May/18 $${let}\:{I}\left(\xi\right)\:\:=\:\int_{\xi} ^{\mathrm{1}−\xi} \:\:\:\frac{{dt}}{\mathrm{1}−\left({t}−\xi\right)^{\mathrm{2}} } \\ $$$${find}\:{lim}_{\xi\rightarrow\mathrm{0}^{+} } \:\:\:{I}\left(\xi\right) \\ $$ Commented by maxmathsup by…
Question Number 36182 by prof Abdo imad last updated on 30/May/18 $${calculate}\:\:\int_{\mathrm{1}} ^{+\infty} \:\:\:\frac{{dt}}{{t}\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 36167 by abdo mathsup 649 cc last updated on 29/May/18 $${let}\:{give}\:\:{I}\:\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{i}\right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{1}\right)\:{extract}\:{Re}\left({I}\right)\:{and}\:{Im}\left({I}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:{I} \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:{Re}\left({I}\right)\:{and}\:{Im}\left({I}\right)\:. \\ $$…
Question Number 167223 by cortano1 last updated on 10/Mar/22 $$\:\:\int\:\mathrm{sin}\:^{\mathrm{3}} \left(\mathrm{3x}\right)\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{5x}\right)\:\mathrm{dx}=? \\ $$ Commented by greogoury55 last updated on 10/Mar/22 $$\:\mathrm{sin}\:^{\mathrm{3}} \left(\mathrm{3}{x}\right)=\frac{\mathrm{3sin}\:\left(\mathrm{3}{x}\right)−\mathrm{sin}\:\left(\mathrm{9}{x}\right)}{\mathrm{4}} \\ $$$$\:\mathrm{cos}\:^{\mathrm{4}}…
Question Number 167213 by mnjuly1970 last updated on 09/Mar/22 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{solve} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\mathcal{I}=\:\int_{\mathrm{0}} ^{\:\frac{\mathrm{1}}{\mathrm{2}}} \frac{{ln}^{\:\mathrm{2}} \left({x}\right)}{\mathrm{1}−{x}}\:{dx}\:=? \\ $$$$ \\ $$ Answered by…
Question Number 101650 by I want to learn more last updated on 03/Jul/20 Commented by mr W last updated on 03/Jul/20 $${f}\left({x}\right)={a}^{{x}} \:{for}\:{a}\in{R}^{+} \\ $$…
Question Number 167173 by metamorfose last updated on 08/Mar/22 $$\int_{−\mathrm{2}} ^{−\mathrm{1}} {e}^{−\frac{{t}}{\mathrm{2}}} \sqrt{{t}+\mathrm{2}}\:{dt}\:=\:??? \\ $$ Answered by metamorfose last updated on 08/Mar/22 $${let}\:{I}=\int_{−\mathrm{2}} ^{−\mathrm{1}} {e}^{−\frac{{t}}{\mathrm{2}}}…
Question Number 101633 by student work last updated on 03/Jul/20 $$\int\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \centerdot\mathrm{x}^{\mathrm{x}} \centerdot\mathrm{x}\:\mathrm{dx}=? \\ $$ Commented by Tinku Tara last updated on 03/Jul/20 $$\mathrm{Please}\:\mathrm{post}\:\mathrm{questions}\:\mathrm{where}\:\mathrm{you}…
Question Number 167150 by mathlove last updated on 08/Mar/22 Answered by som(math1967) last updated on 08/Mar/22 $$\:{let}\:\left({arctanx}^{{arctanx}^{…} } \right)={z} \\ $$$$\:{arctanx}^{{arctanx}^{…} } {lnarctanx}={lnz} \\ $$$$\:{zlnarctanx}={lnz}…
Question Number 101608 by M±th+et+s last updated on 03/Jul/20 $$\int_{\mathrm{0}\:} ^{\frac{\pi}{\mathrm{2}}} {ln}\left(\frac{{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}{\pi^{\mathrm{2}} +{ln}^{\mathrm{2}} \left({sin}\left(\theta\right)\right)}\right)\frac{{ln}\left({cos}\left(\theta\right)\right)}{{tan}\left(\theta\right)}{d}\theta \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com