Question Number 116250 by mathmax by abdo last updated on 02/Oct/20 $$\left.\mathrm{1}\right)\mathrm{explicite}\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\infty} \:\mathrm{e}^{−\mathrm{n}\left[\mathrm{x}\right]} \mathrm{cos}\left(\mathrm{3}\left[\mathrm{x}\right]\right)\mathrm{dx} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\mathrm{U}_{\mathrm{n}} \\ $$$$\left.\mathrm{3}\right)\mathrm{find}\:\mathrm{nsture}\:\mathrm{of}\:\Sigma\:\mathrm{U}_{\mathrm{n}} \\ $$ Terms of…
Question Number 116248 by mathmax by abdo last updated on 02/Oct/20 $$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\frac{\mathrm{arctan}\left(\mathrm{2}+\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}^{\mathrm{2}} −\mathrm{x}\:+\mathrm{1}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 116247 by mathmax by abdo last updated on 02/Oct/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:\mathrm{I}\:=\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{ch}\left(\mathrm{cos}\left(\mathrm{2x}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{9}}\mathrm{dx}\:\mathrm{and} \\ $$$$\mathrm{J}\:=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{cos}\left(\mathrm{ch}\left(\mathrm{2x}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{9}}\mathrm{dx} \\ $$ Terms of Service…
Question Number 116249 by mathmax by abdo last updated on 02/Oct/20 $$\mathrm{find}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 116245 by mathmax by abdo last updated on 02/Oct/20 $$\mathrm{calculate}\:\:\int_{\mathrm{1}} ^{\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{2x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{5}} } \\ $$ Answered by MJS_new last updated on 02/Oct/20…
Question Number 116237 by bobhans last updated on 02/Oct/20 $$\int\:\sqrt{\mathrm{5cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{4}}\:\mathrm{dx}\:? \\ $$ Answered by Lordose last updated on 02/Oct/20 $$\int\sqrt{\mathrm{5}\left(\mathrm{1}−\mathrm{sin}^{\mathrm{2}} \mathrm{x}\right)+\mathrm{4}}\:\mathrm{dx} \\ $$$$\int\sqrt{\mathrm{9}−\mathrm{5sin}^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}…
Question Number 116231 by bemath last updated on 02/Oct/20 $$\int\:\mathrm{sec}\:\mathrm{x}\:\mathrm{tan}\:\mathrm{x}\:\sqrt{\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{3}}\:\mathrm{dx}\:? \\ $$ Answered by john santu last updated on 02/Oct/20 $$\int\:\mathrm{sec}\:{x}\:\mathrm{tan}\:{x}\:\sqrt{\mathrm{sec}\:^{\mathrm{2}} \:{x}−\mathrm{4}}\:{dx} \\ $$$$\left[\:{let}\:{u}\:=\:\mathrm{sec}\:{x}\:\rightarrow{du}\:=\:\mathrm{sec}\:{x}\:\mathrm{tan}\:{x}\:{dx}\:\right]…
Question Number 50689 by Tawa1 last updated on 18/Dec/18 $$\mathrm{If}\:\:\mathrm{c}\:\mathrm{is}\:\mathrm{the}\:\mathrm{line}\:\mathrm{segement}\:\mathrm{from}\:\:\left(\mathrm{0},\:\mathrm{0},\:\mathrm{0}\right)\:\mathrm{to}\:\left(\mathrm{1},\:\mathrm{2},\:\mathrm{3}\right) \\ $$$$\mathrm{find}\:\:\:\int\:\mathrm{x}\:\mathrm{e}^{\mathrm{yz}} \:\:\mathrm{ds} \\ $$ Answered by mr W last updated on 19/Dec/18 $$\frac{{x}−\mathrm{1}}{\mathrm{1}}=\frac{{y}−\mathrm{2}}{\mathrm{2}}=\frac{{z}−\mathrm{3}}{\mathrm{3}} \\…
Question Number 50683 by maxmathsup by imad last updated on 18/Dec/18 $${find}\:{f}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left(\lambda{x}\right)}{\mathrm{1}+\lambda{x}^{\mathrm{2}} }{dx}\:\:{with}\:\lambda>\mathrm{0} \\ $$ Commented by Abdo msup. last updated on 21/Dec/18…
Question Number 116216 by bemath last updated on 02/Oct/20 $$\underset{\mathrm{0}} {\overset{\pi} {\int}}\:\frac{\mathrm{ln}\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}\:\mathrm{x}\right)}{\mathrm{cos}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Answered by Bird last updated on 02/Oct/20 $${let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}} ^{\pi} \:\frac{{ln}\left(\mathrm{1}+{acosx}\right)}{{cosx}}{dx}\:{with}−\mathrm{1}<{a}<\mathrm{1} \\…