Question Number 212141 by MrGaster last updated on 03/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\int\frac{\mathrm{cos}^{\mathrm{2}} {x}}{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}{dx}. \\ $$$$ \\ $$ Answered by BHOOPENDRA last updated on 03/Oct/24 $$\int\frac{\mathrm{cos}\:^{\mathrm{2}}…
Question Number 212136 by Subhi last updated on 03/Oct/24 $${what}\:{is}\:{the}\:{maximal}\:{number}\:{of}\:{consecutive}\:{natural} \\ $$$${numbers}\:{which}\:{are}\:{coprime}\:{with}\:{the} \\ $$$${sum}\:{of}\:{their}\:{divisors} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 212137 by MrGaster last updated on 03/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt[{{n}}]{{n}}−\mathrm{1}\right)\sqrt{{n}}=? \\ $$$$ \\ $$ Answered by Frix last updated on 03/Oct/24 $$\underset{{n}\rightarrow\infty}…
Question Number 212139 by mnjuly1970 last updated on 03/Oct/24 $$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\mathrm{I}_{{n}} \:=\:\int_{−\pi} ^{\:\pi} \frac{\:\mathrm{sin}\left({nx}\:\right)}{\left(\mathrm{1}\:+\:{e}^{{x}} \right)\mathrm{sin}{x}}\:{dx}\:=?\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\: \\ $$ Answered…
Question Number 212148 by boblosh last updated on 03/Oct/24 $$ \\ $$ Answered by Frix last updated on 03/Oct/24 $$\mathrm{42} \\ $$ Terms of Service…
Question Number 212146 by CrispyXYZ last updated on 03/Oct/24 $$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{without}\:\mathrm{derivative} \\ $$$${x}\left(\mathrm{6}−{x}\right)\left({x}−\mathrm{3}\right)^{\mathrm{2}} \:\left(\mathrm{3}<{x}<\mathrm{6}\right) \\ $$ Answered by Frix last updated on 03/Oct/24 $$\mathrm{Let}\:{x}=\mathrm{3}+\mathrm{3sin}\:{t} \\ $$$${x}\left(\mathrm{6}−{x}\right)\left({x}−\mathrm{3}\right)^{\mathrm{2}}…
Question Number 212123 by MrGaster last updated on 02/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{solve}\:\mathrm{an}\:\mathrm{equation}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\boldsymbol{\mathrm{ln}}\:\boldsymbol{{x}}}=\boldsymbol{\mathrm{ln}}\sqrt{\boldsymbol{{x}}} \\ $$ Answered by Frix last updated on 02/Oct/24 $$\sqrt{\mathrm{ln}\:{x}}=\frac{\mathrm{ln}\:{x}}{\mathrm{2}} \\…
Question Number 212130 by Ismoiljon_008 last updated on 02/Oct/24 $$\:\:\:\: \\ $$ Answered by a.lgnaoui last updated on 03/Oct/24 $$\:\:\:\:\frac{\mathrm{AD}}{\mathrm{BC}}=\mathrm{2},\mathrm{48}\:\left(\mathrm{detail}\:\mathrm{en}\:\mathrm{commentaire}\right) \\ $$ Commented by a.lgnaoui…
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Question Number 212108 by Ismoiljon_008 last updated on 01/Oct/24 $$ \\ $$$$\:\:\:\int_{\:−\mathrm{1}} ^{\:\:\mathrm{1}} \mid\:{x}\:\mid\:\centerdot\:{ln}\left({x}^{\mathrm{2}} \:−\:{x}\:+\:\mathrm{1}\right)\:{dx}\:=\:? \\ $$$$\:\:\:\mathcal{H}{elp}\:{me},\:{please} \\ $$$$ \\ $$ Answered by Frix last…