Question Number 60688 by maxmathsup by imad last updated on 24/May/19 $${find}\:\int\:\:\:{e}^{−{x}} \sqrt{\frac{\mathrm{3}−{x}}{\mathrm{3}+{x}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60687 by maxmathsup by imad last updated on 24/May/19 $${calculate}\:\:\int\:\frac{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }−\mathrm{2}{x}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:+\mathrm{2}{x}}\:{dx} \\ $$ Commented by maxmathsup by imad last updated on 25/May/19…
Question Number 191756 by Shlock last updated on 30/Apr/23 Answered by aleks041103 last updated on 30/Apr/23 $${side}\:{of}\:{whole}\:{square}\:\rightarrow\:{a} \\ $$$${side}\:{blue}/{red}/{yellow}\:{square}\:\rightarrow\:{b}/{r}/{y} \\ $$$${b}^{\mathrm{2}} ={r}^{\mathrm{2}} +\left({a}−\mathrm{2}{r}\right)^{\mathrm{2}} ={r}^{\mathrm{2}} +{y}^{\mathrm{2}}…
Question Number 126223 by liberty last updated on 18/Dec/20 $$\:\:\frac{{dy}}{{dx}}\:+\:\frac{{x}^{\mathrm{2}} {y}}{{x}^{\mathrm{3}} +{y}^{\mathrm{3}} }\:=\:\mathrm{0} \\ $$ Commented by bramlexs22 last updated on 18/Dec/20 $$\:{v}+{x}\frac{{dv}}{{dx}}\:=\:\frac{{x}^{\mathrm{3}} {v}}{{x}^{\mathrm{3}} \left(\mathrm{1}+{v}^{\mathrm{3}}…
Question Number 60686 by maxmathsup by imad last updated on 24/May/19 $${let}\:{f}\left({x}\right)\:={cos}\left(\mathrm{2}{x}\right)\:\:\:\:,\mathrm{2}\pi\:{periodic}\:,\:\:{developp}\:{f}\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60685 by maxmathsup by imad last updated on 24/May/19 $${find}\:{I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\mathrm{1}−{cos}\left({nx}\right)}{{sin}^{\mathrm{2}} \left({nx}\right)}{dx}\: \\ $$ Commented by maxmathsup by imad last updated…
Question Number 191758 by Mingma last updated on 30/Apr/23 Answered by AST last updated on 30/Apr/23 $$\mathrm{521}^{\mathrm{1000}} \equiv\mathrm{0001}\left({mod}\:\mathrm{10000}\right)\: \\ $$$$\left(\mathrm{521},\mathrm{10000}\right)=\mathrm{1}\:\Rightarrow\:\:\mathrm{521}^{\mathrm{999}} \equiv\frac{\mathrm{1}}{\mathrm{521}}\left({mod}\:\mathrm{10000}\right) \\ $$$$\frac{\mathrm{1}}{\mathrm{521}}\equiv{x}\left({mod}\mathrm{10000}\right)\Rightarrow\mathrm{521}{x}\equiv\mathrm{1}\left({mod}\:\mathrm{10000}\right) \\ $$$$\mathrm{10000}{q}−\mathrm{521}{x}=−\mathrm{1}…
Question Number 191753 by Abdullahrussell last updated on 30/Apr/23 Answered by Frix last updated on 30/Apr/23 $${t}^{\mathrm{3}} +{pt}^{\mathrm{2}} +{qt}+{r}=\mathrm{0} \\ $$$${s}_{\mathrm{1}} ={t}_{\mathrm{1}} ^{\mathrm{2}} {t}_{\mathrm{2}} +{t}_{\mathrm{2}}…
Question Number 60683 by maxmathsup by imad last updated on 24/May/19 $${find}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{sin}^{{n}} {xdx}\:\:\:\:{with}\:{n}\:{integr}\:{natural}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 126219 by aristarque last updated on 18/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com