Question Number 88003 by Ar Brandon last updated on 07/Apr/20 $${Determine}\:{all}\:{functions}\:{f}\left[\mathrm{0},\mathrm{1}\right]\rightarrow\Omega \\ $$$${such}\:{that}\:\forall{x}\in\left[\mathrm{0},\mathrm{1}\right]\:{f}\:'\left({x}\right)+{f}\left({x}\right)={f}\left(\mathrm{0}\right)+{f}\left(\mathrm{1}\right) \\ $$ Commented by mr W last updated on 07/Apr/20 $${f}\left(\mathrm{0}\right)+{f}\left(\mathrm{1}\right)={k} \\…
Question Number 88000 by jdmath last updated on 07/Apr/20 $${Is}\:{there}\:{a}\:{formula}\:{to}\:{calculate}\: \\ $$$$ \\ $$$$\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{i}^{\mathrm{2}} } \\ $$$${interms}\:{of}\:{n}..? \\ $$ Commented by abdomathmax last…
Question Number 87998 by abdomathmax last updated on 07/Apr/20 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \:+\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 22463 by Tinkutara last updated on 18/Oct/17 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:{x}: \\ $$$$\frac{\mathrm{1}}{\left[{x}\right]}\:+\:\frac{\mathrm{1}}{\left[\mathrm{2}{x}\right]}\:=\:\left({x}\right)\:+\:\frac{\mathrm{1}}{\mathrm{3}}, \\ $$$$\mathrm{where}\:\left[{x}\right]\:\mathrm{is}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{less} \\ $$$$\mathrm{than}\:\mathrm{or}\:\mathrm{equal}\:\mathrm{to}\:{x}\:\mathrm{and}\:\left({x}\right)\:=\:{x}\:−\:\left[{x}\right], \\ $$$$\left[\mathrm{e}.\mathrm{g}.\:\left[\mathrm{3}.\mathrm{4}\right]\:=\:\mathrm{3}\:\mathrm{and}\:\left(\mathrm{3}.\mathrm{4}\right)\:=\:\mathrm{0}.\mathrm{4}\right]. \\ $$ Answered by ajfour last updated…
Question Number 153532 by talminator2856791 last updated on 08/Sep/21 $$\: \\ $$$$\:\mathrm{sin}\left(\mathrm{sin}\left(\mathrm{sin}\left({x}^{\mathrm{2}\pi{x}} −\mathrm{1}\right)\right)\right)\:=\:\mathrm{cos}\left(\mathrm{cos}\left(\mathrm{cos}\left({x}^{\mathrm{2}{ex}} +\mathrm{1}\right)\right)\right)\: \\ $$$$\:{x}\:=\:? \\ $$$$\: \\ $$ Terms of Service Privacy Policy…
Question Number 153535 by gsk2684 last updated on 08/Sep/21 $${find}\:\int\frac{\sqrt{{x}^{\mathrm{2}} −\mathrm{9}}}{{x}^{\mathrm{3}} }\:{dx}=? \\ $$ Answered by puissant last updated on 08/Sep/21 $${K}=\int\frac{\sqrt{{x}^{\mathrm{2}} −\mathrm{9}}}{{x}^{\mathrm{3}} }{dx} \\…
Question Number 87996 by abdomathmax last updated on 07/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\mathrm{3}{x}\right)−{arctanx}}{{x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87994 by abdomathmax last updated on 07/Apr/20 $${vcalculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\mathrm{2}\left[{x}\right]+\mathrm{3}\right)}{{x}^{\mathrm{2}} \:+\mathrm{9}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87995 by abdomathmax last updated on 07/Apr/20 $${find}\:\int\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} \left({x}^{\mathrm{2}} \:+\mathrm{2}\right)} \\ $$ Answered by redmiiuser last updated on 08/Apr/20 $$\frac{\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{1}}={t} \\…
Question Number 22457 by ajfour last updated on 18/Oct/17 $${Prove}\:{the}\:{inequality} \\ $$$$\:\:\mathrm{cos}\:\left(\mathrm{sin}\:{x}\right)\:>\:\mathrm{sin}\:\left(\mathrm{cos}\:{x}\right)\:. \\ $$ Commented by Bruce Lee last updated on 18/Oct/17 Terms of Service…