Question Number 38107 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:{C}\:=\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{{cos}\left({nx}\right)}{{n}^{\mathrm{2}} }{dx}\:\:{and}\:{S}=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{n}^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy…
Question Number 38106 by maxmathsup by imad last updated on 21/Jun/18 $${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:{e}^{−\mathrm{3}{t}} {ln}\left(\mathrm{1}+{e}^{{t}} \right){dt}\:. \\ $$ Commented by abdo mathsup 649 cc last…
Question Number 38104 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:\:\int_{\mathrm{1}} ^{+\infty} \:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{2}\right)\sqrt{{x}+\mathrm{3}}} \\ $$ Answered by MJS last updated on 23/Jun/18 $$\int\frac{{dx}}{\left({x}^{\mathrm{2}}…
Question Number 38105 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:\int\:\:\:\:\:\frac{{dx}}{\:\sqrt{\mathrm{2}{x}+\mathrm{1}}\:+\sqrt{\mathrm{2}{x}−\mathrm{1}}}\: \\ $$ Answered by MJS last updated on 22/Jun/18 $$\int\frac{{dx}}{\:\sqrt{\mathrm{2}{x}+\mathrm{1}}+\sqrt{\mathrm{2}{x}−\mathrm{1}}}=\frac{\mathrm{1}}{\mathrm{2}}\int\left(\sqrt{\mathrm{2}{x}+\mathrm{1}}−\sqrt{\mathrm{2}{x}−\mathrm{1}}\right){dx}= \\ $$$$=\frac{\mathrm{1}}{\mathrm{6}}\left(\left(\mathrm{2}{x}+\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} −\left(\mathrm{2}{x}−\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}}…
Question Number 38102 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{B}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:{e}^{−\left({x}−\left[{x}\right]\right)^{\mathrm{2}} } {dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{B}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{B}_{{n}} \\ $$ Terms…
Question Number 38103 by maxmathsup by imad last updated on 21/Jun/18 $${find}\:{I}\left(\lambda\right)=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\:\:\frac{{xdx}}{\lambda\:+{tanx}}\:\:\lambda\:{from}\:{R}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 38100 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \left({x}−\left[{x}\right]\right)^{\mathrm{2}} {dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$ Commented by…
Question Number 38101 by maxmathsup by imad last updated on 21/Jun/18 $${let}\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:\:{e}^{{x}−\left[{x}\right]} {dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$ Commented by…
Question Number 169169 by infinityaction last updated on 25/Apr/22 Commented by infinityaction last updated on 25/Apr/22 $$\left(\mathrm{0731619}\right)\:{your}\:{old}\:{question}\:{reposted} \\ $$ Commented by infinityaction last updated on…
Question Number 38074 by ajfour last updated on 21/Jun/18 $$\int\frac{{dx}}{{a}+{b}\mathrm{tan}\:^{\mathrm{2}} {x}}\:=\:? \\ $$ Commented by prof Abdo imad last updated on 21/Jun/18 $${changement}\:{tanx}={t}\:{give} \\ $$$${I}\:=\:\int\:\:\frac{\mathrm{1}}{{a}+{bt}^{\mathrm{2}}…