Question Number 75848 by behi83417@gmail.com last updated on 18/Dec/19 $$\underset{\mathrm{0}} {\overset{\:\:\:\:\:\:\:\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\frac{\boldsymbol{\mathrm{sin}}\mathrm{4}\boldsymbol{\mathrm{x}}}{\mathrm{1}+\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}}\boldsymbol{\mathrm{dx}}=? \\ $$ Commented by mathmax by abdo last updated on 18/Dec/19 $${let}\:{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 141387 by cesarL last updated on 18/May/21 $$\int_{−\pi/\mathrm{4}} ^{\pi/\mathrm{4}} \left({sec}^{\mathrm{2}} {x}+{tgx}\right)^{\mathrm{2}} {dx} \\ $$ Answered by MJS_new last updated on 18/May/21 $$\underset{−\pi/\mathrm{4}} {\overset{\pi/\mathrm{4}}…
Question Number 75838 by Crabby89p13 last updated on 18/Dec/19 Commented by MJS last updated on 19/Dec/19 $$\mathrm{testing}\:\mathrm{all}\:\mathrm{derivates} \\ $$$$\Rightarrow \\ $$$$\frac{{d}}{{dx}}\left[\frac{{x}^{\mathrm{12}} }{\mathrm{6}\left(\mathrm{2}{x}^{\mathrm{4}} +\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }\right]=…=\frac{\mathrm{3}{x}^{\mathrm{13}}…
Question Number 141373 by SLVR last updated on 18/May/21 Commented by SLVR last updated on 18/May/21 $${kindly}\:{help}\:{me} \\ $$ Answered by mathmax by abdo last…
Question Number 75830 by Master last updated on 18/Dec/19 Commented by Master last updated on 18/Dec/19 $$\mathrm{sir}\:\mathrm{mind}\:\mathrm{is}\:\mathrm{power}\:,\:\mathrm{sir}\:\mathrm{mathmax}\:\mathrm{plz} \\ $$ Commented by turbo msup by abdo…
Question Number 141367 by cesarL last updated on 18/May/21 $$\int\left(\sqrt{{cosx}\centerdot{senx}}\right){dx} \\ $$ Answered by MJS_new last updated on 18/May/21 $$\mathrm{if}\:\mathrm{sen}\:{x}\:=\mathrm{sin}\:{x} \\ $$$$\int\sqrt{\mathrm{cos}\:{x}\:\mathrm{sin}\:{x}}\:{dx}=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\int\sqrt{\mathrm{sin}\:\mathrm{2}{x}}\:{dx}= \\ $$$$\:\:\:\:\:\left[{t}={x}−\frac{\pi}{\mathrm{4}}\:\rightarrow\:{dx}={dt}\right] \\…
Question Number 141360 by cesarL last updated on 17/May/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \sqrt{{cosxsenx}}{dx} \\ $$ Commented by iloveisrael last updated on 18/May/21 $${qn}\:\mathrm{141367} \\ $$ Terms…
Question Number 141362 by cesarL last updated on 17/May/21 $$\int{sen}\left(\mathrm{2}\theta\right){cos}^{\mathrm{4}} \left(\mathrm{2}\theta\right){d}\theta \\ $$ Answered by bemath last updated on 17/May/21 $$\int\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{2}\theta\right)\:\mathrm{sin}\:\left(\mathrm{2}\theta\right)\:{d}\theta= \\ $$$$−\frac{\mathrm{1}}{\mathrm{2}}\int\:\mathrm{cos}\:^{\mathrm{4}} \left(\mathrm{2}\theta\right)\:{d}\left(\mathrm{cos}\:\mathrm{2}\theta\right)\:=…
Question Number 75809 by aliesam last updated on 17/Dec/19 Commented by kaivan.ahmadi last updated on 19/Dec/19 $$\int_{\mathrm{0}} ^{\mathrm{3}} \int_{\mathrm{0}} ^{\frac{{x}}{\mathrm{3}}} {e}^{{x}^{\mathrm{2}} } {dydx}=\int_{\mathrm{0}} ^{\mathrm{3}} {e}^{{x}^{\mathrm{2}}…
Question Number 141336 by cesarL last updated on 17/May/21 $$\int\mathrm{sin}\:\left(\mathrm{ln}\:\left({x}\right)\right){dx}=?\:\:{Please} \\ $$ Answered by Dwaipayan Shikari last updated on 17/May/21 $${log}\left({x}\right)={u} \\ $$$$\int{e}^{{u}} {sin}\left({u}\right){du}=\boldsymbol{\Phi} \\…