Question Number 67835 by mind is power last updated on 01/Sep/19 $$\int_{\mathrm{0}} ^{\mathrm{2}} {x}\left(\mathrm{8}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx} \\ $$ Answered by MJS last updated on 01/Sep/19…
Question Number 133371 by I want to learn more last updated on 21/Feb/21 Answered by mr W last updated on 22/Feb/21 Commented by mr W…
Question Number 2297 by prakash jain last updated on 14/Nov/15 $${a}_{\mathrm{0}} ={k} \\ $$$${a}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{1}+{a}_{{n}} } \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}{a}_{{n}} =? \\ $$ Commented by Yozzi…
Question Number 2292 by Filup last updated on 14/Nov/15 $$\mathrm{This}\:\mathrm{isn}'\mathrm{t}\:\mathrm{a}\:\mathrm{question}. \\ $$$$\mathrm{Just}\:\mathrm{wanted}\:\mathrm{to}\:\mathrm{say}\:\mathrm{that}\:\mathrm{since}\:\mathrm{I}\:\mathrm{joined} \\ $$$$\mathrm{here}\:\mathrm{I}\:\mathrm{have}\:\mathrm{learnt}\:\mathrm{so}\:\mathrm{much}.\:\mathrm{You}\:\mathrm{guys} \\ $$$$\mathrm{are}\:\mathrm{awesome}! \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 67826 by peter frank last updated on 31/Aug/19 Commented by gunawan last updated on 01/Sep/19 $${x}=\mathrm{1}+{a}+{a}^{\mathrm{2}} +{a}^{\mathrm{3}} +.. \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{1}−{a}}\:\Rightarrow\mathrm{1}−\:{a}=\frac{\mathrm{1}}{{x}}\Rightarrow\:{a}=\mathrm{1}−\frac{\mathrm{1}}{{x}}=\frac{{x}−\mathrm{1}}{{x}} \\ $$$${y}=\mathrm{1}+{b}+{b}^{\mathrm{2}} +{b}^{\mathrm{3}}…
Question Number 133360 by liberty last updated on 21/Feb/21 $$\int\:\sqrt{\mathrm{1}+\mathrm{sec}\:\mathrm{x}}\:\mathrm{dx}\:? \\ $$ Commented by som(math1967) last updated on 21/Feb/21 $$\int\sqrt{\frac{\mathrm{1}+{cosx}}{{cosx}}}{dx} \\ $$$$\sqrt{\mathrm{2}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}}{dx} \\ $$$$=\frac{\sqrt{\mathrm{2}}}{\:\sqrt{\mathrm{2}}}\int\frac{{cos}\frac{{x}}{\mathrm{2}}}{\:\sqrt{\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right)^{\mathrm{2}}…
Question Number 2289 by 123456 last updated on 14/Nov/15 $$\mathrm{suppose}\:\mathrm{that}\:{f}:\left[\mathrm{0},\mathrm{1}\right]\rightarrow\mathbb{R},\:\mathrm{lets}\:{f}\in\mathrm{C}^{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{suppose}\:\mathrm{that}\:\exists\alpha\in\left[\mathrm{0},\mathrm{1}\right]\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left(\alpha\right)+{f}\left(\mathrm{1}−\alpha\right)=\mathrm{1} \\ $$$$\mathrm{proof}\:\mathrm{or}\:\mathrm{give}\:\mathrm{a}\:\mathrm{counter}\:\mathrm{example}\:\mathrm{that} \\ $$$$\exists\xi\in\left[\mathrm{0},\mathrm{1}\right],{f}\left(\xi\right)=\xi \\ $$ Commented by Rasheed Soomro last…
Question Number 67823 by mhmd last updated on 31/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{lnx}+{e}^{{lnx}/{x}} } {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 2286 by Filup last updated on 14/Nov/15 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{evaluate}: \\ $$$$\frac{\mathrm{1}}{\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}}}+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}}}}+…+\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{…}} \\ $$ Commented by Yozzi last updated on 14/Nov/15 $${u}_{\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{1}},\:{u}_{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}}}=\frac{\mathrm{1}}{\mathrm{1}+{u}_{\mathrm{1}} }…
Question Number 67820 by angezbcn last updated on 31/Aug/19 $${x}^{\mathrm{3}} −{x}^{\mathrm{2}} −\mathrm{6}{x} \\ $$ Commented by mr W last updated on 01/Sep/19 $$={x}\left({x}^{\mathrm{2}} −{x}−\mathrm{6}\right) \\…