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Question Number 74620 by aliesam last updated on 27/Nov/19 Answered by mind is power last updated on 27/Nov/19 $$\mathrm{tchek}\:\mathrm{it}\:\mathrm{sir} \\ $$$$\mathrm{ther}\:\mathrm{is}\:\mathrm{somme} \\ $$$$\mathrm{problems}\:\:\:\:\mathrm{ln}\left(\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}{\mid\mathrm{cos}\left(\mathrm{x}\right)\mid}\right) \\…
Question Number 74621 by aliesam last updated on 27/Nov/19 Commented by mathmax by abdo last updated on 28/Nov/19 $${changement}\:{x}={a}\:{sh}\left({t}\right)\:\Rightarrow\int\sqrt{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:=\int\:{ach}\left({t}\right){a}\:{cht}\:{dt} \\ $$$$={a}^{\mathrm{2}} \:\int\:{ch}^{\mathrm{2}} \left({t}\right){dt}\:=\frac{{a}^{\mathrm{2}}…
Question Number 9080 by sandipkd@ last updated on 17/Nov/16 Commented by sandipkd@ last updated on 17/Nov/16 $${sorry}\:{i}\:{forget}\:{to}\:{write}\:{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 140148 by aliibrahim1 last updated on 04/May/21 Answered by EDWIN88 last updated on 04/May/21 $$\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}}…
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