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 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 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 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
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 64328 by Chi Mes Try last updated on 16/Jul/19 $$\mathrm{Let}\:\:{f}\::\:{R}\rightarrow{R},\:{g}\::\:{R}\rightarrow{R}\:\:\mathrm{be}\:\mathrm{continuous} \\ $$$$\mathrm{functions}.\:\mathrm{Then} \\ $$$$\underset{−\pi/\mathrm{2}} {\overset{\pi/\mathrm{2}} {\int}}\:\left[\:{f}\left({x}\right)+{f}\left(−{x}\right)\:\right]\:\left[\:{g}\left({x}\right)\left({g}\left(−{x}\right)\:\right]\:{dx}\:=\right. \\ $$ Terms of Service Privacy Policy…
Question Number 64327 by Chi Mes Try last updated on 16/Jul/19 $$\frac{{d}}{{dx}}\:\:\left(\:\underset{{f}\left({x}\right)} {\overset{{g}\left({x}\right)} {\int}}\:\phi\left({t}\right)\:{dt}\:\right)\:= \\ $$ Commented by mathmax by abdo last updated on 16/Jul/19…