Question Number 86646 by Ar Brandon last updated on 30/Mar/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{x}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Commented by mathmax…
Question Number 86643 by mathmax by abdo last updated on 29/Mar/20 $${calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{cos}\left(\mathrm{2}{ch}\left({x}\right)\right)}{{x}^{\mathrm{2}} \:+\mathrm{9}}{dx} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 86638 by M±th+et£s last updated on 29/Mar/20 $${I}=\int\frac{{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{1}}{\left({x}−\mathrm{3}\right)^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by MJS last updated on 29/Mar/20 $$\frac{{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}}…
Question Number 152165 by peter frank last updated on 26/Aug/21 $$\int\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{3x}}\mathrm{dx} \\ $$ Answered by john_santu last updated on 26/Aug/21 $$\:\mathrm{I}=\int\:\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{3sin}\:\mathrm{x}−\mathrm{4sin}\:^{\mathrm{3}} \mathrm{x}}\:\mathrm{dx}\: \\ $$$$\mathrm{I}=\int\:\frac{\mathrm{dx}}{\mathrm{3}−\mathrm{4sin}\:^{\mathrm{2}} \mathrm{x}}…
Question Number 152161 by peter frank last updated on 26/Aug/21 $$\int\mathrm{cos}\:\left(\mathrm{log}\:\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Aug/21 $$\mathrm{F}\left({x}\right)\:=\:\int\mathrm{cos}\left(\mathrm{log}{x}\right)\:{dx} \\ $$$$\mathrm{F}\left({e}^{{u}} \right)\:=\:\int\mathrm{cos}{u}\:{e}^{{u}} {du}…
Question Number 152164 by peter frank last updated on 26/Aug/21 $$\int\frac{\mathrm{2x}+\mathrm{1}}{\mathrm{4}−\mathrm{3x}−\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$ Commented by Paradoxical last updated on 26/Aug/21 Commented by peter frank…
Question Number 86627 by Omer Alattas last updated on 29/Mar/20 Commented by abdomathmax last updated on 29/Mar/20 $${x}\rightarrow\frac{{tanx}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} }\:{is}\:{odd}\:\Rightarrow\int_{−\mathrm{1}} ^{\mathrm{1}} \:\frac{{tanx}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} }{dx}=\mathrm{0} \\…
Question Number 152160 by peter frank last updated on 26/Aug/21 $$\int\left[\frac{\mathrm{1}}{\mathrm{log}\:\mathrm{x}}−\frac{\mathrm{1}}{\left(\mathrm{log}\:\mathrm{x}\right)^{\mathrm{2}} }\right]\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 26/Aug/21 $$\mathrm{F}\left({x}\right)\:=\:\int\left(\frac{\mathrm{1}}{\mathrm{log}{x}}−\frac{\mathrm{1}}{\mathrm{log}^{\mathrm{2}} {x}}\right){dx} \\ $$$$\mathrm{F}\left({x}\right)\:=\:\int\frac{\mathrm{log}{x}−\mathrm{1}}{\mathrm{log}^{\mathrm{2}}…
Question Number 86626 by sakeefhasan05@gmail.com last updated on 29/Mar/20 $$\int\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\:\:\mathrm{dx} \\ $$$$\mathrm{answer}\:\mathrm{quick}\:\mathrm{pls} \\ $$ Commented by sakeefhasan05@gmail.com last updated on 30/Mar/20 Commented by mathmax…
Question Number 152163 by peter frank last updated on 26/Aug/21 $$\int\left(\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{5x}+\mathrm{3}}{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{2}}\right)\mathrm{dx} \\ $$ Answered by Paradoxical last updated on 26/Aug/21 Commented by peter…