Question Number 39020 by maxmathsup by imad last updated on 01/Jul/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left(\mathrm{1}+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{1}}\right)}{\:\sqrt{{x}^{\mathrm{2}} \:+\mathrm{1}}}\:{dx} \\ $$ Answered by behi83417@gmail.com last updated on 02/Jul/18…
Question Number 39017 by maxmathsup by imad last updated on 01/Jul/18 $${find}\:\:\:\int\:\:\frac{−\mathrm{2}{x}+\mathrm{3}}{{x}^{\mathrm{2}} \left(\:{x}^{\mathrm{3}} \:+\mathrm{8}\right)}{dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{1}} ^{+\infty} \:\:\:\frac{−\mathrm{2}{x}+\mathrm{3}}{{x}^{\mathrm{2}} \left({x}^{\mathrm{3}} \:+\mathrm{8}\right)}{dx} \\ $$ Commented by math…
Question Number 39015 by maxmathsup by imad last updated on 01/Jul/18 $${find}\:\:\int\:\:\:\:\:\:\frac{{dx}}{{x}\left(\mathrm{2}{x}+\mathrm{1}\right)\left(\mathrm{3}{x}+\mathrm{2}\right)} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{2}} \:\:\:\:\frac{{dx}}{{x}\left(\mathrm{2}{x}+\mathrm{1}\right)\left(\mathrm{3}{x}+\mathrm{2}\right)} \\ $$ Commented by math khazana by abdo last…
Question Number 39016 by maxmathsup by imad last updated on 01/Jul/18 $${calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\frac{{sin}\left({nx}\right)}{{cosx}}{dx}\:\:{with}\:{n}\:{from}\:{N}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104523 by Ar Brandon last updated on 22/Jul/20 $$\int\frac{\mathrm{xdx}}{\left(\mathrm{x}^{\mathrm{3}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104505 by mathmax by abdo last updated on 22/Jul/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Answered by OlafThorendsen last updated on…
Question Number 38946 by math khazana by abdo last updated on 01/Jul/18 $${find}\:\int\:{arcos}\left(\mathrm{2}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right){dx}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104459 by bemath last updated on 21/Jul/20 $$\int\:\frac{{dx}}{\:\sqrt{{A}\mathrm{cos}\:{x}+{B}}} \\ $$ Commented by Dwaipayan Shikari last updated on 21/Jul/20 $$\int\frac{{dx}}{\:\sqrt{{Acosx}+{B}}}=\int\frac{{A}\left(−{sinx}\right)}{−{Asinx}}.\frac{\mathrm{1}}{\:\sqrt{{Acosx}+{B}}}{dx}\:\:\left\{{Acosx}+{B}={t}^{\mathrm{2}} \right. \\ $$$$\int\frac{\mathrm{2}{tdt}}{{t}\left(−{Asinx}\right)}=−\frac{\mathrm{2}}{{A}}\int\frac{\mathrm{1}}{{sinx}}{dt}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left\{{cosx}=\left({t}^{\mathrm{2}} −{B}\right).\frac{\mathrm{1}}{{A}}\right.…
Question Number 38899 by math khazana by abdo last updated on 01/Jul/18 $${find}\:\int_{\mathrm{0}} ^{\pi} {ln}\left(\mathrm{2}+{cost}\right){dt}\:{and}\:\int_{\mathrm{0}} ^{\pi} {ln}\left(\mathrm{2}−{cost}\right){dt} \\ $$ Commented by maxmathsup by imad last…
Question Number 38896 by math khazana by abdo last updated on 01/Jul/18 $${let}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:\:\:\frac{{x}\left[{x}\right]}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$ Commented…