Menu Close

Category: Integration

Question-61809

Question Number 61809 by aliesam last updated on 09/Jun/19 Commented by maxmathsup by imad last updated on 10/Jun/19 $${let}\:{A}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{x}^{{n}} }{\:\sqrt{{ln}\left({x}\right)}}\:{dx}\:\Rightarrow\:{A}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{{n}} }{\:\sqrt{−\left(−{lnx}\right)}}\:{dx}\:=\frac{\mathrm{1}}{\:\sqrt{−\mathrm{1}}}\:\int_{\mathrm{0}}…

2pi-4pi-1-cos-x-dx-

Question Number 61801 by aliesam last updated on 08/Jun/19 $$\underset{\mathrm{2}\pi} {\overset{\mathrm{4}\pi} {\int}}\sqrt{\mathrm{1}−{cos}\left({x}\right)}\:{dx} \\ $$ Commented by MJS last updated on 08/Jun/19 $$\sqrt{\mathrm{1}−\mathrm{cos}\:{x}}=\sqrt{\mathrm{2}}\mathrm{sin}\:\frac{{x}}{\mathrm{2}} \\ $$$$\mathrm{now}\:\mathrm{it}'\mathrm{s}\:\mathrm{easy} \\…

find-dx-sin-2x-tan-x-dx-

Question Number 61748 by maxmathsup by imad last updated on 08/Jun/19 $${find}\:\:\int\:\:\:\:\frac{{dx}}{{sin}\left(\mathrm{2}{x}\right)+{tan}\left({x}\right)}{dx} \\ $$ Commented by Prithwish sen last updated on 08/Jun/19 $$\int\frac{\mathrm{dx}}{\frac{\mathrm{2tanx}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \mathrm{x}}\:+\:\mathrm{tanx}} \\…