Category: Relation and Functions

Question Number 97988 by abdomathmax last updated on 10/Jun/20 $$\mathrm{calculate}\mathrm{by}\mathrm{recurrence}{\mathrm{A}}_{\mathrm{n}}={\int }_0^{\frac{\pi }{4}}\frac{\mathrm{dx}}{{\cos }^{\mathrm{n}}\mathrm{x}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 97983 by abdomathmax last updated on 10/Jun/20 $$\mathrm{f}\mathrm{continue}\mathrm{on}[0,1]\mathrm{and}\mathrm{f}\left(\mathrm{x}\right)>0\mathrm{on}[0,1]$$$$\mathrm{prove}\mathrm{that}{\int }_0^1\mathrm{lnf}\left(\mathrm{x}\right)\mathrm{dx}⩽\ln \left({\int }_0^1\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\right)$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 97981 by abdomathmax last updated on 10/Jun/20 $$\mathrm{calculate}{\lim }_{\mathrm{x}\to 1^{+}}{\int }_{\mathrm{x}-1}^{{\mathrm{x}}^2-1}\frac{\mathrm{dt}}{\ln (1+\mathrm{t})}$$ Answered by mathmax by abdo last updated on…

Question Number 163508 by alcohol last updated on 07/Jan/22 $$etudierlacontinuitede\left[x\right]-\sqrt{x-\left[x\right]}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 32346 by abdo imad last updated on 23/Mar/18 $$let{u}_0=1and{u}_{n+1}=u_n\frac{1+2u_n}{1+3n}$$$$giveaequivalentof{u}_n$$ Terms of Service Privacy Policy Contact:…