Question Number 156182 by cortano last updated on 09/Oct/21 Answered by PRITHWISH SEN 2 last updated on 10/Oct/21 $$\int\frac{\mathrm{sec}^{\mathrm{4}} \mathrm{xdx}}{\mathrm{12tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{4}}\:=\:\int\frac{\mathrm{sec}^{\mathrm{2}} \mathrm{x}\left(\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}\right)\mathrm{dx}}{\mathrm{12tan}\:^{\mathrm{2}} \mathrm{x}−\mathrm{4}} \\…
Question Number 90625 by Josephbaraka@gmail.com last updated on 25/Apr/20 $$\int{e}^{{arcsinx}} {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 90592 by M±th+et£s last updated on 24/Apr/20 $$\int_{\mathrm{0}} ^{\sqrt{{arccos}\left(\frac{−\mathrm{2}\phi}{\pi}+\mathrm{1}\right)}} {x}\:{sin}\left({x}^{\mathrm{2}} \right)\:{dx} \\ $$ Commented by mathmax by abdo last updated on 24/Apr/20 $$\int_{\mathrm{0}}…
Question Number 90588 by Cynosure last updated on 24/Apr/20 $$\int\sqrt{{x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{6}\:\:}}{dx} \\ $$ Answered by john santu last updated on 25/Apr/20 Terms of Service Privacy…
Question Number 90589 by M±th+et£s last updated on 24/Apr/20 $$\int\frac{\mathrm{1}}{{x}+\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}{dx} \\ $$ Commented by mathmax by abdo last updated on 24/Apr/20 $${I}\:=\int\:\:\frac{{dx}}{{x}+\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}\:=\int\:\:\frac{{dx}}{{x}+\sqrt{\left({x}+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} +\frac{\mathrm{3}}{\mathrm{4}}}}…
Question Number 90574 by niroj last updated on 24/Apr/20 $$\:\boldsymbol{\mathrm{Use}}\:\boldsymbol{\mathrm{gamma}}\:\boldsymbol{\mathrm{function}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{prove}} \\ $$$$\:\:\left(\mathrm{i}\right)\:.\:\:\int_{\mathrm{0}} ^{\:\:\frac{\boldsymbol{\pi}}{\mathrm{8}}} \:\boldsymbol{\mathrm{cos}}^{\mathrm{3}} \mathrm{4}\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{dx}}=\:\frac{\mathrm{1}}{\mathrm{6}}. \\ $$$$\:\:\left(\boldsymbol{\mathrm{ii}}\right).\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{6}}} \:\boldsymbol{\mathrm{cos}}^{\mathrm{4}} \mathrm{3}\boldsymbol{\theta}\:\boldsymbol{\mathrm{sin}}^{\mathrm{2}} \mathrm{6}\boldsymbol{\theta}\:\boldsymbol{\mathrm{d}\theta}\:=\:\frac{\mathrm{5}\boldsymbol{\pi}}{\mathrm{192}}. \\ $$ Commented by…
Question Number 90566 by Rohit@Thakur last updated on 24/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{infinity}} \mathrm{Sin}^{\mathrm{4}} \mathrm{3x}/\mathrm{x}^{\mathrm{2}} \mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 90544 by jagoll last updated on 24/Apr/20 $$\int\:\frac{{dx}}{\:\sqrt{\mathrm{2}−\mathrm{cos}\:{x}}} \\ $$ Answered by $@ty@m123 last updated on 24/Apr/20 $$\int\frac{{dx}}{\:\sqrt{\mathrm{2}−\frac{\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}{\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}}}} \\ $$$$\int\frac{{dx}}{\:\sqrt{\frac{\mathrm{2}+\mathrm{2tan}\:^{\mathrm{2}} \frac{{x}}{\mathrm{2}}+\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}}…
Question Number 90512 by M±th+et£s last updated on 24/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{{x}}{dx} \\ $$ Commented by Kunal12588 last updated on 24/Apr/20 $$\infty? \\ $$ Commented…
Question Number 90508 by frc2crc last updated on 24/Apr/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{{n}^{{m}} \left(\mathrm{1}+{n}\right)^{{m}} }\right) \\ $$$${what}\:{is}\:{the}\:{general}\:{for}\:{this}\:{sum} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com