Menu Close

Category: Integration

pi-2-pi-2-dx-1-e-sin-x-

Question Number 89946 by jagoll last updated on 20/Apr/20 $$\int\underset{−\frac{\pi}{\mathrm{2}}} {\overset{\frac{\pi}{\mathrm{2}}} {\:}}\:\frac{\mathrm{dx}}{\mathrm{1}+\mathrm{e}^{\mathrm{sin}\:\mathrm{x}} } \\ $$ Answered by john santu last updated on 20/Apr/20 $${I}\:=\:\underset{\frac{−\pi}{\mathrm{2}}} {\overset{\frac{\pi}{\mathrm{2}}}…

Question-24411

Question Number 24411 by A1B1C1D1 last updated on 17/Nov/17 Answered by mrW1 last updated on 17/Nov/17 $$\int_{\frac{\pi}{\mathrm{2}}} ^{\:\mathrm{0}} \int_{\mathrm{2}} ^{\:\mathrm{0}} {r}^{\mathrm{4}} \mathrm{cos}\:\left(\mathrm{2}\theta\right)\:{dr}\:{d}\theta \\ $$$$=\int_{\frac{\pi}{\mathrm{2}}} ^{\:\mathrm{0}}…

x-tan-1-x-1-x-2-3-2-dx-

Question Number 89918 by jagoll last updated on 20/Apr/20 $$\int\:\frac{\mathrm{x}\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{3}/\mathrm{2}} }\:\mathrm{dx}\: \\ $$ Commented by john santu last updated on 20/Apr/20 $$\left[\:{u}\:=\:\mathrm{tan}^{−\mathrm{1}} \left({x}\right)\:\Rightarrow{du}\:=\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}}…