Question Number 190987 by Rupesh123 last updated on 15/Apr/23 Answered by 07049753053 last updated on 16/Apr/23 $$\boldsymbol{\mathrm{let}}\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} =\boldsymbol{\mathrm{u}}\:\boldsymbol{\mathrm{dx}}=\frac{\boldsymbol{\mathrm{du}}}{\mathrm{2}\sqrt{\boldsymbol{\mathrm{u}}}} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{\mathrm{e}}^{−\boldsymbol{\mathrm{u}}} \boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{u}}\right)}{\boldsymbol{\mathrm{u}}\sqrt{\boldsymbol{\mathrm{u}}}}\boldsymbol{\mathrm{du}}=\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\infty} \boldsymbol{\mathrm{u}}^{−\frac{\mathrm{3}}{\mathrm{2}}}…
Question Number 190984 by Spillover last updated on 15/Apr/23 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{3}} \int_{\mathrm{0}} ^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} \mathrm{ydydx}\: \\ $$$$ \\ $$ Answered by a.lgnaoui last…
Question Number 190983 by Spillover last updated on 15/Apr/23 $$ \\ $$$$\:\:\:\:\int_{\boldsymbol{{x}}= } ^{ } \int_{\boldsymbol{{y}}= } ^{ −\boldsymbol{{x}}} \int_{\boldsymbol{{z}}= } ^{ −\boldsymbol{{x}}−\boldsymbol{{y}}} \boldsymbol{{xdzdydx}} \\…
Question Number 125440 by bramlexs22 last updated on 11/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\int\frac{\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{3}}{\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{5}\right)}\:{dx}\: \\ $$ Answered by Ar Brandon last updated on 11/Dec/20 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{2x}^{\mathrm{2}} −\mathrm{3x}−\mathrm{3}}{\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2x}+\mathrm{5}\right)}=\frac{\mathrm{a}}{\mathrm{x}−\mathrm{1}}+\frac{\mathrm{bx}+\mathrm{c}}{\mathrm{x}^{\mathrm{2}}…
Question Number 59906 by Sardor2211 last updated on 15/May/19 $$\int\left(\mathrm{2x}−\mathrm{1}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 59904 by Sardor2211 last updated on 15/May/19 $$\left(\mathrm{2x}−\mathrm{1}\hat {\right)}\mathrm{20} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 59905 by Sardor2211 last updated on 15/May/19 $$\int\left(\mathrm{2x}−\mathrm{1}\hat {\right)}\mathrm{20} \\ $$ Commented by maxmathsup by imad last updated on 16/May/19 $${if}\:{you}\:{mean}\:{I}\:=\int\:\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{20}} {dx}\:\Rightarrow{I}\:=\int\:\sum_{{k}=\mathrm{0}} ^{\mathrm{20}}…
Question Number 59901 by Sardor2211 last updated on 15/May/19 $$\int\mathrm{sin}\:\left({x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 59902 by Sardor2211 last updated on 15/May/19 $$\int\mathrm{sin}\:\left({x}\right){dx} \\ $$ Commented by maxmathsup by imad last updated on 16/May/19 $$\int\:{sinx}\:{dx}\:=−{cosx}\:+{C}\:. \\ $$ Terms…
Question Number 59893 by aliesam last updated on 15/May/19 Commented by maxmathsup by imad last updated on 15/May/19 $${method}\:{using}\:{the}\:{formuae}\:\int_{\mathrm{0}} ^{\infty} \frac{{t}^{{a}−\mathrm{1}} }{\mathrm{1}+{t}}{dt}\:=\frac{\pi}{{sin}\left(\pi{a}\right)}\:\:{if}\:\mathrm{0}<{a}<\mathrm{1} \\ $$$${let}\:{I}\:=\int_{−\infty} ^{+\infty}…