Question Number 111195 by bemath last updated on 02/Sep/20 $$\:\:\:\:\sqrt{\mathrm{bemath}} \\ $$$$\:\:\:\int\:\frac{\mathrm{dx}}{\:\sqrt[{\mathrm{3}\:}]{\mathrm{x}−\mathrm{1}}\:\:\sqrt[{\mathrm{3}\:}]{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }}\:? \\ $$ Answered by Sarah85 last updated on 02/Sep/20 $$\mathrm{substitute}\:{t}=\sqrt[{\mathrm{3}}]{\frac{{x}−\mathrm{1}}{{x}+\mathrm{1}}}\:\Leftrightarrow\:{x}=−\frac{{t}^{\mathrm{3}} +\mathrm{1}}{{t}^{\mathrm{3}} −\mathrm{1}}\:\Rightarrow…
Question Number 111189 by john santu last updated on 02/Sep/20 $$\:\left(\mathrm{1}\right)\:\:\:\:\:\:\:\int\:\frac{\left({x}+\mathrm{1}\right){dx}}{{x}^{\mathrm{4}} \left({x}−\mathrm{1}\right)}\:?\: \\ $$$$\:\left(\mathrm{2}\right)\:\:\:\:\:\:\frac{{dy}}{{dx}}\:+\:\frac{{y}}{{x}−\mathrm{2}}\:=\:\mathrm{5}\left({x}−\mathrm{2}\right)\sqrt{{y}}\: \\ $$ Answered by Sarah85 last updated on 02/Sep/20 $$\frac{{x}+\mathrm{1}}{{x}^{\mathrm{4}} \left({x}−\mathrm{1}\right)}=\frac{\mathrm{2}}{{x}−\mathrm{1}}−\frac{\mathrm{2}}{{x}}−\frac{\mathrm{2}}{{x}^{\mathrm{2}}…
Question Number 111174 by Her_Majesty last updated on 02/Sep/20 $${following}\:{the}\:{newest}\:{trend}\:−\:{what}\:{do}\:{I} \\ $$$${say}!?\:−\:{ahead}\:{of}\:{it},\:{of}\:{course}!\:{I}\:{post}\:{this} \\ $$$${answer}\:{to}\:{one}\:{of}\:{the}\:{next}\:{questions},\:{look} \\ $$$${out}\:{for}\:{it}\:{so}\:{you}\:{won}'{t}\:{miss}\:{it}! \\ $$$$ \\ $$$${I}={I}_{\mathrm{1}} −\mathrm{2}{I}_{\mathrm{2}} =\xi\left(\mathrm{5}\right)+\Gamma\left(\mathrm{7}/\mathrm{3}\right)−\mathrm{2}/\sqrt{\pi}+{C} \\ $$ Terms…
Question Number 45641 by Necxx last updated on 15/Oct/18 Commented by Necxx last updated on 15/Oct/18 $${I}\:{just}\:{saw}\:{this}\:{and}\:{decided}\:{to} \\ $$$${share} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 45632 by maxmathsup by imad last updated on 14/Oct/18 $$\left.\mathrm{1}\right){find}\:\int\:{ln}\left(\mathrm{1}+{x}^{\mathrm{3}} \right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{x}^{\mathrm{3}} \right){ex} \\ $$ Commented by maxmathsup by imad…
Question Number 45634 by maxmathsup by imad last updated on 14/Oct/18 $$\left.\mathrm{1}\right){find}\:\int\:{ln}\left(\mathrm{1}−{x}^{\mathrm{6}} \right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}−{x}^{\mathrm{6}} \right){dx} \\ $$ Terms of Service Privacy Policy…
Question Number 176679 by mnjuly1970 last updated on 24/Sep/22 $$ \\ $$$$\:\:\:\:\:\:\:\:{Eeasy}\:\:{integral}…. \\ $$$$\:\:\:\:\:\:\boldsymbol{\Omega}\:=\:\int_{−\int_{\mathrm{0}} ^{\:\infty} {e}^{\:−{x}^{\:\mathrm{2}} } {dx}} ^{\:\int_{\mathrm{0}} ^{\:\infty} {e}^{\:−{x}^{\:\mathrm{2}} } {dx}} {sin}^{\:\mathrm{2}} \left({t}\right).{ln}^{\:\mathrm{3}}…
Question Number 45600 by maxmathsup by imad last updated on 14/Oct/18 $${find}\:{f}\left({x},{y}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left({x}+{y}\:{sin}\theta\right){d}\theta\:\:{with}\:\:\mid{y}\mid<\mid{x}\mid \\ $$$$\left.\mathrm{2}\right)\:{find}\:{f}\left(\mathrm{2},\mathrm{3}\right) \\ $$$$\left.\mathrm{3}\right){find}\:{f}\left(\sqrt{\mathrm{2}},\sqrt{\mathrm{3}}\right)\:. \\ $$ Commented by maxmathsup by imad…
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Question Number 111104 by Lordose last updated on 02/Sep/20 Commented by mathdave last updated on 02/Sep/20 $${the}\:{question}\:{is}\:{not}\:{integradable} \\ $$ Commented by Dwaipayan Shikari last updated…