Question Number 83750 by M±th+et£s last updated on 05/Mar/20 $${I}=\int{e}^{{x}} \:{tan}\left({x}\right)\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149273 by john_santu last updated on 04/Aug/21 $$\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{\mathrm{e}^{\mathrm{tan}\:\mathrm{x}} \:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}{\mathrm{cos}\:^{\mathrm{4}} \mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by Ar Brandon last updated on 04/Aug/21…
Question Number 83737 by jagoll last updated on 05/Mar/20 $$\int\:\:\frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{4}} +\mathrm{cos}\:{x}}\:{dx}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83713 by mhmd last updated on 05/Mar/20 $$\int\frac{{dx}}{\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}\:\:\:{pleas}\:{sir}\:{help}\:{me} \\ $$ Commented by niroj last updated on 05/Mar/20 $$ \\ $$$$\:\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}}}}}\mathrm{dx} \\ $$$$\:=\:\int\:\frac{\:\:\mathrm{1}}{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{4x}+\mathrm{1}}}{\mathrm{2}}}\mathrm{dx}=\:\int\:\frac{\mathrm{2}}{\mathrm{1}+\sqrt{\mathrm{4x}+\mathrm{1}}}\mathrm{dx} \\…
Question Number 149241 by john_santu last updated on 04/Aug/21 Answered by ajfour last updated on 04/Aug/21 $${s}=\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{x}^{\mathrm{3}} {dx}}{\left({x}−\mathrm{1}\right)^{\mathrm{3}} +\left(\mathrm{3}−{h}\right)\left({x}−\mathrm{1}\right)+{hx}} \\ $$$$\mathrm{3}−{h}=\mathrm{5}\:\:\:\Rightarrow\:\:{h}=−\mathrm{2} \\ $$$${s}_{\mathrm{1}}…
Question Number 83691 by niroj last updated on 05/Mar/20 $$\:\mathrm{evaluate}: \\ $$$$\:\:\:\int\:\frac{\:\boldsymbol{\mathrm{dx}}}{\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{sin}}\:\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{b}}\:\boldsymbol{\mathrm{cos}}\:\boldsymbol{\mathrm{x}}} \\ $$ Commented by mathmax by abdo last updated on 05/Mar/20 $${we}\:{use}\:{changement}\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:\Rightarrow \\…
Question Number 149205 by ArielVyny last updated on 03/Aug/21 $$\int_{−\infty} ^{\mathrm{0}} \frac{{t}}{\left(\mathrm{1}−{t}\right)^{\mathrm{2}} }{dt} \\ $$ Answered by MJS_new last updated on 03/Aug/21 $$\int\frac{{t}}{\left(\mathrm{1}−{t}\right)^{\mathrm{2}} }{dt}=\int\frac{{dt}}{{t}−\mathrm{1}}+\int\frac{{dt}}{\left({t}−\mathrm{1}\right)^{\mathrm{2}} }=…
Question Number 83675 by niroj last updated on 05/Mar/20 $$ \\ $$$$\: \\ $$$$\:\:\mathrm{evaluate}: \\ $$$$\:\mathrm{2}\:\int_{\mathrm{0}} ^{\:\mathrm{2}} \:\frac{\sqrt{\mathrm{x}+\mathrm{1}}}{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\mathrm{dx} \\ $$$$\:\:\:\:\: \\ $$$$\:\: \\ $$…
Question Number 83642 by niroj last updated on 04/Mar/20 $$ \\ $$$$\: \\ $$$$\mathfrak{Find}\:\mathfrak{the}\:\mathfrak{surface}\:\mathfrak{area}\:\mathfrak{of}\:\mathfrak{the}\:\mathfrak{solid}\:\mathfrak{generated} \\ $$$$\:\:\mathfrak{by}\:\mathfrak{the}\:\mathfrak{revolution}\:\mathfrak{of}\:\mathfrak{the}\:\mathfrak{cardioids}\:\mathfrak{r}=\mathfrak{a}\left(\mathrm{1}+\mathfrak{cos}\:\theta\right)\:\mathfrak{about}\:\mathfrak{the}\:\mathfrak{initial}\:\mathfrak{line}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149157 by gsk2684 last updated on 03/Aug/21 $$\underset{\frac{\mathrm{1}}{\mathrm{2}}} {\overset{\mathrm{2}} {\int}}\frac{\mathrm{1}}{{x}}\mathrm{cosec}\:^{\mathrm{101}} \left({x}−\frac{\mathrm{1}}{{x}}\right)\:{dx}=? \\ $$ Answered by Kamel last updated on 03/Aug/21 $$\mathrm{0} \\ $$…