Question Number 140148 by aliibrahim1 last updated on 04/May/21 Answered by EDWIN88 last updated on 04/May/21 $$\left(\ast\right)\mathrm{vol}\:=\:\pi\underset{\mathrm{1}} {\overset{\mathrm{4}} {\int}}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{dy}\:=\:\pi\left(\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}^{\mathrm{2}} \right)_{\mathrm{1}} ^{\mathrm{4}} =\:\frac{\mathrm{15}\pi}{\mathrm{2}} \\ $$$$\left(\ast\ast\right)\mathrm{vol}\:=\:\mathrm{2}\pi\underset{\mathrm{1}}…
Question Number 140141 by mnjuly1970 last updated on 04/May/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:……{advanced}\:\:{calculus}…… \\ $$$$\:\:\:\:{when}\:\:\:\mid{z}\mid<\mathrm{1}\:{and}:: \\ $$$$\:\Omega:=\frac{{sin}\left({x}\right)}{{z}^{\mathrm{2}} +\mathrm{2}{z}\:{cos}\left({x}\right)+\mathrm{1}}\:=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {z}^{{n}} \\ $$$$\:{are}\:{satisfied}\:,\:{then}\:{solve}\:,\:\:{a}_{{n}} \:… \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:…………………
Question Number 9057 by sandipkd@ last updated on 16/Nov/16 Answered by aydnmustafa1976 last updated on 16/Nov/16 $${nsin}\frac{\mathrm{1}}{{n}}={lim}\frac{{sin}\frac{\mathrm{1}}{{n}}}{\frac{\mathrm{1}}{{n}}}={lim}\frac{{sint}}{{t}}=\mathrm{1}\:{therefore}\:\:\mathrm{4}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}{dx}=\mathrm{4}.{arctgx}\mid_{\mathrm{0}} ^{\mathrm{1}} =\mathrm{4}\left(\frac{\Pi}{\mathrm{4}}−\mathrm{0}\right)=\Pi \\ $$ Commented…
Question Number 8993 by tawakalitu last updated on 11/Nov/16 $$\int\mathrm{sin}\left(\mathrm{e}^{\mathrm{2x}} \right)\:\mathrm{dx} \\ $$ Commented by FilupSmith last updated on 12/Nov/16 $${u}={e}^{\mathrm{2}{x}} \:\Rightarrow\:{du}=\frac{\mathrm{1}}{\mathrm{2}}{e}^{\mathrm{2}{x}} {dx} \\ $$$$\int\mathrm{sin}\left({e}^{\mathrm{2}{x}}…
Question Number 140064 by Algoritm last updated on 03/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140057 by PGeeman last updated on 03/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140056 by Ndala last updated on 03/May/21 $$\mathrm{Prove}\:\mathrm{the}\:\mathrm{folowing}\:\mathrm{result}: \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{cot}\:\theta\centerdot\left(\mathrm{log}\:\mathrm{sec}\:\theta\right)^{\mathrm{3}} {d}\theta=\frac{\pi^{\mathrm{4}} }{\mathrm{240}} \\ $$$$. \\ $$$$\mathrm{I}\:\mathrm{need}\:\mathrm{your}\:\mathrm{help},\:\mathrm{if}\:\mathrm{possible}\:\mathrm{please}. \\ $$ Answered by Ar…
Question Number 74514 by mathmax by abdo last updated on 25/Nov/19 $${calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\frac{\left({x}−{sin}\theta\right){d}\theta}{\left({x}^{\mathrm{2}} −\mathrm{2}{x}\:{sin}\theta\:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 140046 by mnjuly1970 last updated on 03/May/21 $$\:\:\:\:\:\:\:\:\:\:………..\:{nice}\:…….{calculus}\left({I}\right)\:…….. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Theta\::={lim}_{\:{x}\rightarrow\:\frac{\pi}{\mathrm{4}}} \:\left(\:{tan}\left({x}\right)\:\right)^{\:{tan}\left(\mathrm{2}{x}\right)} \:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…………………………. \\ $$$$ \\ $$ Commented by mnjuly1970 last updated…
Question Number 74500 by mathmax by abdo last updated on 25/Nov/19 $$\left.\mathrm{1}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{{x}^{\mathrm{3}} −\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{4}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right){find}\:\:\:\int_{\mathrm{3}} ^{+\infty} \:{F}\left({x}\right){dx} \\ $$ Terms of Service Privacy…