Question Number 152722 by SANOGO last updated on 31/Aug/21 Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\bullet\:\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{e}^{−\frac{\mathrm{1}}{{x}}} }{{x}^{\mathrm{2}} }\:{dx} \\ $$$$\mathrm{Let}\:{u}\:=\:\frac{\mathrm{1}}{{x}}\:: \\ $$$$\mathrm{I}\:=\:\int_{\mathrm{1}}…
Question Number 152714 by talminator2856791 last updated on 06/Oct/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\:\:\frac{{x}+{y}^{\mathrm{2}} +{z}^{\mathrm{3}} +\mathrm{1}}{\:\sqrt{{x}+{y}+{z}}+\mathrm{1}}\:\:\:{dxdydz} \\ $$$$\: \\…
Question Number 21634 by Isse last updated on 29/Sep/17 $$\int\mathrm{3}{tan}\mathrm{2}{t} \\ $$ Answered by Joel577 last updated on 30/Sep/17 $${I}\:=\:\int\:\mathrm{3tan}\:\mathrm{2}{t}\:{dt} \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{2}{t}\:\:\rightarrow\:\:{du}\:=\:\mathrm{2}\:{dt} \\ $$$${I}\:=\:\frac{\mathrm{3}}{\mathrm{2}}\:\int\:\mathrm{tan}\:{u}\:{du} \\…
Question Number 152703 by talminator2856791 last updated on 31/Aug/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\:\frac{{x}+{y}^{\mathrm{2}} +{z}^{\mathrm{3}} }{{x}+{y}+{z}}\:\:\:{dxdydz} \\ $$$$\: \\…
Question Number 152701 by talminator2856791 last updated on 31/Aug/21 $$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{−\infty} ^{\:\infty} \:\frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\:\:{dx} \\ $$$$\: \\ $$$$\: \\ $$ Terms of…
Question Number 21595 by Isse last updated on 29/Sep/17 $$\mathrm{3sec}^{\mathrm{2}} \mathrm{3}{xtan}\mathrm{3}{x} \\ $$ Commented by mrW1 last updated on 29/Sep/17 $$\mathrm{what}'\mathrm{s}\:\mathrm{the}\:\mathrm{question}? \\ $$ Answered by…
Question Number 152660 by Tawa11 last updated on 30/Aug/21 $$\int\:\frac{\mathrm{x}}{\:\sqrt{\mathrm{1}\:\:\:+\:\:\:\mathrm{x}^{\mathrm{3}} }}\:\mathrm{dx} \\ $$ Answered by Olaf_Thorendsen last updated on 31/Aug/21 $$\left(\mathrm{1}+{u}\right)^{−\frac{\mathrm{1}}{\mathrm{2}}} \:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \frac{\left(\mathrm{2}{n}\right)!}{\mathrm{2}^{\mathrm{2}{n}}…
Question Number 21591 by Isse last updated on 29/Sep/17 $$\mathrm{5cos}\:^{\mathrm{5}} {t}\mathrm{sin}\:{t} \\ $$ Commented by mrW1 last updated on 29/Sep/17 $$\mathrm{what}'\mathrm{s}\:\mathrm{your}\:\mathrm{concrete}\:\mathrm{question}? \\ $$ Answered by…
Question Number 87121 by M±th+et£s last updated on 03/Apr/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{1}−{x}^{\mathrm{4}} }{\mathrm{1}+{x}^{\mathrm{4}} }{dx} \\ $$ Answered by redmiiuser last updated on 03/Apr/20 $$\left(\mathrm{1}+{x}^{\mathrm{4}} \right)^{−\mathrm{1}}…
Question Number 21582 by Isse last updated on 28/Sep/17 $$\int_{\pi/\mathrm{2}} ^{\pi/\mathrm{4}} \left(\mathrm{3}{x}+\mathrm{7}\right) \\ $$ Answered by Joel577 last updated on 29/Sep/17 $${I}\:=\:\underset{\frac{\pi}{\mathrm{2}}} {\overset{\frac{\pi}{\mathrm{4}}} {\int}}\:\mathrm{3}{x}\:+\:\mathrm{7}\:{dx} \\…