Question Number 137695 by Mathspace last updated on 05/Apr/21 $${find}\:\:\int\:\:\frac{\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{3}} }{\:\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}}{dx} \\ $$ Answered by bemath last updated on 05/Apr/21 $$\:\int\:\frac{\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{3}} \left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\:\right)}{{x}−\left({x}+\mathrm{1}\right)}{dx} \\ $$$$=\:\int\:\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{3}} \left(\sqrt{{x}+\mathrm{1}}\:−\sqrt{{x}}\:\right){dx}…
Question Number 137694 by Mathspace last updated on 05/Apr/21 $${find}\:\int\:\:\:\frac{{x}^{\mathrm{3}} }{\left({x}−\mathrm{3}\right)^{\mathrm{3}} \left({x}\sqrt{\mathrm{2}}+\mathrm{7}\right)^{\mathrm{4}} }{dx} \\ $$ Commented by MJS_new last updated on 05/Apr/21 $$\mathrm{you}\:\mathrm{can}\:\mathrm{either}\:\mathrm{decompose}\:\mathrm{or}\:\mathrm{apply}\:\mathrm{Ostrogradski}'\mathrm{s} \\ $$$$\mathrm{Method};\:\mathrm{it}'\mathrm{s}\:\mathrm{no}\:\mathrm{fun}\:\mathrm{typing}\:\mathrm{with}\:\mathrm{these}\:\mathrm{constants}……
Question Number 137689 by sdfg last updated on 05/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 137690 by sdfg last updated on 05/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 72153 by 20190927 last updated on 25/Oct/19 $$\int\frac{\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}}{\:\sqrt{\mathrm{cos}\:\mathrm{x}}}\mathrm{dx} \\ $$$$\int\mathrm{sin}\left(\mathrm{lnx}\right)\mathrm{dx} \\ $$ Commented by Prithwish sen last updated on 25/Oct/19 $$\left.\boldsymbol{\mathrm{a}}\right)\:\mathrm{let}\:\mathrm{cosx}\:=\:\mathrm{t}^{\mathrm{2}} \Rightarrow−\mathrm{sinx}\:\mathrm{dx}=\:\mathrm{2tdt}…
Question Number 72150 by daniyal_ahmad last updated on 25/Oct/19 Commented by daniyal_ahmad last updated on 25/Oct/19 $$\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{any}}\:\boldsymbol{\mathrm{one}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{problem}}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 72148 by daniyal_ahmad last updated on 25/Oct/19 Commented by daniyal_ahmad last updated on 25/Oct/19 $$\mathrm{plese}\:\mathrm{any}\:\mathrm{one}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{problem}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 137686 by dayladau1234 last updated on 05/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6612 by Temp last updated on 05/Jul/16 $${S}=\sqrt{\mathrm{2}+\sqrt{\mathrm{4}+\sqrt{\mathrm{6}+\sqrt{…}}}} \\ $$$${S}=??? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6610 by Temp last updated on 05/Jul/16 $$\mathrm{If}\:\mathrm{you}\:\mathrm{have}\:\mathrm{a}\:\mathrm{real}\:\mathrm{continuous}\:\mathrm{function}\:{f}\left({x}\right), \\ $$$$\mathrm{If}\:\mathrm{you}\:\mathrm{take}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{between} \\ $$$${f}\left({x}\right)\:\mathrm{and}\:{f}\left({x}+\mathrm{1}\right),\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{average} \\ $$$$\mathrm{distance}\:\mathrm{within}\:{a}\leqslant{x}\leqslant{b}? \\ $$ Commented by Temp last updated on 05/Jul/16…