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Author: Tinku Tara

find-2x-1-3-x-x-1-dx-

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}…

find-x-3-x-3-3-x-2-7-4-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}……

sin-3-x-cos-x-dx-sin-lnx-dx-

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-72150

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:…