Question Number 209685 by uuuuu last updated on 18/Jul/24 Answered by lepuissantcedricjunior last updated on 23/Jul/24 $$\boldsymbol{{D}}.\boldsymbol{{arctan}}\left(\boldsymbol{{ta}}\overset{\mathrm{2}} {\boldsymbol{{n}x}}\right)+\boldsymbol{{c}} \\ $$ Terms of Service Privacy Policy…
Question Number 209687 by uuuuu last updated on 18/Jul/24 Answered by lepuissantcedricjunior last updated on 18/Jul/24 $$\boldsymbol{{k}}=\int\frac{\boldsymbol{{sin}}\mathrm{2}\boldsymbol{{x}}}{\boldsymbol{{si}}\overset{\mathrm{4}} {\boldsymbol{{n}x}}+\boldsymbol{{co}}\overset{\mathrm{2}} {\boldsymbol{{s}x}}}\boldsymbol{{dx}} \\ $$$$\:\:=\int\frac{\mathrm{2}\boldsymbol{{sinxcosx}}}{\boldsymbol{{co}}\overset{\mathrm{4}} {\boldsymbol{{s}x}}\left(\mathrm{1}+\boldsymbol{{ta}}\overset{\mathrm{4}} {\boldsymbol{{n}x}}\right)}\boldsymbol{{dx}} \\ $$$$\:\:=\int\frac{\mathrm{2}\boldsymbol{{sinx}}}{\boldsymbol{{co}}\overset{\mathrm{3}}…
Question Number 209672 by Ansu last updated on 18/Jul/24 Answered by som(math1967) last updated on 18/Jul/24 $$\:\frac{\mathrm{3}{x}−\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{9}−{x}}{{x}} \\ $$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}} −{x}=\mathrm{36}−\mathrm{4}{x} \\ $$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{36}=\mathrm{0} \\ $$$$\Rightarrow{x}^{\mathrm{2}}…
Question Number 209670 by mokys last updated on 18/Jul/24 $${find}\:{the}\:{sum}\:{of}\:{sin}^{\mathrm{2}} \left(\mathrm{1}\right)+…+{sin}^{\mathrm{2}} \left(\mathrm{90}\right) \\ $$ Answered by Ar Brandon last updated on 18/Jul/24 $${S}=\underset{\theta=\mathrm{0}} {\overset{\mathrm{90}} {\sum}}\mathrm{sin}^{\mathrm{2}}…
Question Number 209671 by Ansu last updated on 18/Jul/24 $$\mathrm{5}{x}+\mathrm{3}{x}=\mathrm{10} \\ $$ Answered by SWPlaysMC last updated on 19/Jul/24 $${x}=\frac{\mathrm{5}}{\mathrm{4}} \\ $$ Answered by Frix…
Question Number 209696 by Ismoiljon_008 last updated on 18/Jul/24 Commented by Ismoiljon_008 last updated on 18/Jul/24 $${help}\:{me}\:{please} \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 209631 by York12 last updated on 17/Jul/24 $$\mathrm{Let}\:{u}_{{n}} \:\mathrm{be}\:\mathrm{a}\:\mathrm{set}\:\mathrm{satisfying}\:{u}_{\mathrm{1}} =\mathrm{1}\:\&\:{u}_{{n}+\mathrm{1}} ={u}_{{n}} +\frac{\mathrm{ln}\:{n}}{{u}_{{n}} }\:\:,\:\forall\:{n}\:\geqslant\mathrm{1} \\ $$$$\mathrm{1}.\:\mathrm{Prove}\:\mathrm{that}\:{u}_{\mathrm{2023}} >\sqrt{\mathrm{2023}.\mathrm{ln}\:\mathrm{2023}}. \\ $$$$\mathrm{2}.\:\mathrm{Find}:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{u}_{{n}} .\mathrm{ln}\:{n}}{{n}}. \\ $$ Terms…
Question Number 209656 by Ismoiljon_008 last updated on 17/Jul/24 $$ \\ $$$$\:\:\:\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{3}{cosx}+{sinx}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:{help} \\ $$$$ \\ $$ Answered by Berbere last updated on…
Question Number 209659 by mokys last updated on 17/Jul/24 Answered by efronzo1 last updated on 18/Jul/24 $$\:\:\:\mathrm{S}\:=\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{2}^{\mathrm{x}} \:\mathrm{dx}\:+\:\underset{\mathrm{1}} {\overset{\sqrt{\mathrm{3}}} {\int}}\:\left(\mathrm{3}−\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx} \\ $$…
Question Number 209637 by mr W last updated on 17/Jul/24 Commented by mr W last updated on 17/Jul/24 $${find}\:{minimum}\:{of}\:{AB}+{BC}+{CD}=? \\ $$ Commented by Frix last…