Question Number 193494 by aba last updated on 15/Jun/23 $$\boldsymbol{\mathrm{Let}}\:\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{be}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{fixed}}\:\boldsymbol{\mathrm{positive}}\:\boldsymbol{\mathrm{integer}}\:\boldsymbol{\mathrm{such}}\:\boldsymbol{\mathrm{that}} \\ $$$$\mathrm{sin}\left(\frac{\pi}{\mathrm{2n}}\right)+\mathrm{cos}\left(\frac{\boldsymbol{\pi}}{\mathrm{2n}}\right)=\frac{\sqrt{\mathrm{n}}}{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{Then}}\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{n}} \\ $$ Commented by maths_plus last updated on 15/Jun/23 $$\mathrm{cool} \\…
Question Number 65102 by da last updated on 25/Jul/19 $$\mathrm{The}\:\mathrm{polynomial}\:\:\:\mathrm{5}{x}^{\mathrm{5}} −\mathrm{3}{x}^{\mathrm{3}} +\mathrm{2}{x}^{\mathrm{2}} −{k}\: \\ $$$$\mathrm{gives}\:\mathrm{a}\:\mathrm{remainder}\:\mathrm{1},\:\mathrm{when}\:\mathrm{divided} \\ $$$$\mathrm{by}\:{x}+\mathrm{1}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{k}. \\ $$ Commented by ~ À ® @…
Question Number 64414 by Yitagesuweldesenbet@gmail. Com last updated on 17/Jul/19 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{positive}\:\mathrm{integers}\: \\ $$$$\mathrm{satisfying}\:\mathrm{the}\:\mathrm{inequality}\: \\ $$$$\:^{{n}+\mathrm{1}} {C}_{{n}−\mathrm{2}} −\:^{{n}+\mathrm{1}} {C}_{{n}−\mathrm{1}} \leqslant\:\mathrm{100}\:\:\:\mathrm{is}\:\_\_\_\_. \\ $$ Answered by mr W…
Question Number 64335 by Chi Mes Try last updated on 16/Jul/19 $$\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:\:{x}\:\mathrm{sin}\:{x}\:\mathrm{cos}^{\mathrm{4}} {x}\:{dx}\:= \\ $$ Answered by Tanmay chaudhury last updated on 17/Jul/19…
Question Number 64334 by Chi Mes Try last updated on 16/Jul/19 $$\underset{{a}} {\overset{{b}} {\int}}\:\:\:\mid\:{f}\left({x}\right)\:\mid\:{dx}\:=\:\mathrm{0}\:\Rightarrow\:\underset{{a}} {\overset{{b}} {\int}}\:\:\left({f}\left({x}\right)\right)^{\mathrm{2}} \:{dx}\:=\:\mathrm{0} \\ $$ Commented by mr W last updated…
Question Number 64333 by Chi Mes Try last updated on 16/Jul/19 $$\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{tan}\:{x}}\:{dx}\:= \\ $$ Commented by mathmax by abdo last updated on 16/Jul/19…
Question Number 64331 by Chi Mes Try last updated on 16/Jul/19 $$\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}\:\mathrm{sin}^{\mathrm{11}} {x}\:{dx}\:= \\ $$ Commented by mr W last updated on 16/Jul/19…
Question Number 64332 by Chi Mes Try last updated on 16/Jul/19 $$\underset{\pi/\mathrm{6}} {\overset{\pi/\mathrm{3}} {\int}}\:\:\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{2}{x}}\:{dx}\:= \\ $$ Commented by mathmax by abdo last updated on 16/Jul/19…
Question Number 64329 by Chi Mes Try last updated on 16/Jul/19 $$\mathrm{If}\:{I}=\underset{\:\mathrm{3}} {\overset{\mathrm{4}} {\int}}\:\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{\mathrm{log}\:{x}}}\:{dx}\:,\:\mathrm{then}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64330 by Chi Mes Try last updated on 16/Jul/19 $$\mathrm{If}\:\underset{\:\mathrm{0}} {\overset{\infty} {\int}}\:{e}^{−{x}} \mathrm{sin}\:^{{n}} {x}\:{dx}\:=\:\frac{\mathrm{24}}{\mathrm{125}},\:\mathrm{then}\:{n}= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com