Question Number 189390 by TUN last updated on 15/Mar/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 58319 by salahahmed last updated on 21/Apr/19 $$\int{x}^{{n}} \left(\mathrm{ln}{x}\right)^{{n}} {dx} \\ $$ Answered by Smail last updated on 22/Apr/19 $${By}\:{parts} \\ $$$${u}=\left({lnx}\right)^{{n}} \Rightarrow{u}'={n}\frac{\left({lnx}\right)^{{n}−\mathrm{1}}…
Question Number 58299 by maxmathsup by imad last updated on 21/Apr/19 $${find}\:\int\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} } \\ $$ Commented by maxmathsup by imad last updated on 24/Apr/19…
Question Number 189345 by Michaelfaraday last updated on 15/Mar/23 $${solve} \\ $$$$\int{t}^{−\mathrm{6}} \left({t}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} {dt} \\ $$ Answered by Frix last updated on 15/Mar/23 $$=\int\left(\frac{\mathrm{1}}{{t}^{\mathrm{2}}…
Question Number 58259 by behi83417@gmail.com last updated on 20/Apr/19 $$\boldsymbol{\mathrm{a}}\:\:.\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\mathrm{2}\boldsymbol{\mathrm{sin}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}+\mathrm{3}\boldsymbol{\mathrm{tg}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}}=? \\ $$$$\boldsymbol{\mathrm{b}}\:\:\:.\int\frac{\:\:\mathrm{1}+\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{x}}}}{\mathrm{1}+\sqrt{\boldsymbol{\mathrm{x}}}+\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{x}}}+\sqrt[{\mathrm{6}}]{\boldsymbol{\mathrm{x}}}}\boldsymbol{\mathrm{dx}}=? \\ $$$$\boldsymbol{\mathrm{c}}\:\:\:\:\:.\int\:\:\frac{\boldsymbol{\mathrm{cosx}}}{\mathrm{1}+\boldsymbol{\mathrm{cos}}\mathrm{2}\boldsymbol{\mathrm{x}}}\boldsymbol{\mathrm{dx}}=? \\ $$$$\boldsymbol{\mathrm{d}}\:\:\:\:\:.\int\:\:\:\frac{\boldsymbol{\mathrm{sin}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}}{\:\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}.\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\mathrm{x}}}\boldsymbol{\mathrm{dx}}=? \\ $$ Commented by maxmathsup…
Question Number 123793 by liberty last updated on 28/Nov/20 $$\:\:\int\:\frac{\mathrm{4}{x}−\mathrm{1}}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}\:{dx}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 28/Nov/20 $$\int\frac{\mathrm{4}{x}−\mathrm{3}}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}+\mathrm{2}\int\frac{\mathrm{1}}{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}}{dx} \\…
Question Number 189325 by mnjuly1970 last updated on 14/Mar/23 $$ \\ $$$$\:\:\:\:\:{prove} \\ $$$$ \\ $$$$\:\:\Omega=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{\:{cos}\left({x}\right)+{cos}\left(\mathrm{5}{x}\right)}{\mathrm{1}+\:\mathrm{2}{sin}\left({x}\right)}\:\overset{\:?} {=}\:\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by…
Question Number 189323 by mnjuly1970 last updated on 14/Mar/23 Answered by witcher3 last updated on 14/Mar/23 $$\Leftrightarrow\Sigma\frac{\Gamma\left(\mathrm{n}\right)\Gamma\left(\mathrm{n}\right)}{\Gamma\left(\mathrm{2n}\right).\mathrm{2}^{−\mathrm{n}} }=\underset{\mathrm{n}\geqslant\mathrm{1}} {\sum}\frac{\beta\left(\mathrm{n},\mathrm{n}\right)}{\mathrm{2}^{−\mathrm{n}} } \\ $$$$=\underset{\mathrm{n}\geqslant\mathrm{1}} {\sum}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{n}−\mathrm{1}}…
Question Number 58250 by Tawa1 last updated on 20/Apr/19 $$\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\:\left(\frac{\mathrm{3x}^{\mathrm{3}} \:−\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2x}\:−\:\mathrm{4}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{2}}}\right)\:\mathrm{dx} \\ $$ Answered by MJS last updated on 21/Apr/19 $$\underset{\mathrm{0}}…
Question Number 58249 by tanmay last updated on 20/Apr/19 $$\overset{} {{I}}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {cos}^{{n}} {xcos}\left({nx}\right){dx} \\ $$$${then}\:{show}\:{that}\:{I}_{\mathrm{1}} ,{I}_{\mathrm{2}} ,{I}_{\mathrm{3}} ….{are}\:{in}\:{G}.{P} \\ $$ Terms of Service…