Menu Close

Category: Integration

x-m-x-n-2-x-dx-

Question Number 101286 by student work last updated on 01/Jul/20 $$\int\frac{\left(\mathrm{x}^{\mathrm{m}} −\mathrm{x}^{\mathrm{n}} \right)^{\mathrm{2}} }{\:\sqrt{\mathrm{x}}}\mathrm{dx}=? \\ $$ Commented by student work last updated on 01/Jul/20 $$\mathrm{I}\:\mathrm{need}\:\mathrm{u}\:\mathrm{help}…

x-m-x-n-x-dx-

Question Number 101285 by student work last updated on 01/Jul/20 $$\int\frac{\left(\mathrm{x}^{\mathrm{m}} −\mathrm{x}^{\mathrm{n}} \right)}{\:\sqrt{\mathrm{x}}}\mathrm{dx}=? \\ $$ Commented by bobhans last updated on 01/Jul/20 $$\int\:\left({x}^{{m}−\frac{\mathrm{1}}{\mathrm{2}}} \:−\:{x}^{{n}−\frac{\mathrm{1}}{\mathrm{2}}} \right)\:{dx}\:=\:\frac{\mathrm{2}{x}^{{m}+\frac{\mathrm{1}}{\mathrm{2}}}…

sec-x-dx-

Question Number 101272 by bemath last updated on 01/Jul/20 $$\int\sqrt{\mathrm{sec}\:{x}}\:{dx}\: \\ $$ Commented by john santu last updated on 01/Jul/20 $$\mathrm{I}=\:\int\frac{{dx}}{\:\sqrt{\mathrm{cos}\:{x}}}\:=\:\int\:\frac{\mathrm{1}+\mathrm{sin}\:{x}−\mathrm{sin}\:{x}}{\:\sqrt{\mathrm{cos}\:{x}}}\:{dx} \\ $$$$\mathrm{I}_{\mathrm{1}} \:=\:\int\:\frac{\left(\mathrm{cos}\:\frac{{x}}{\mathrm{2}}−\mathrm{sin}\:\frac{{x}}{\mathrm{2}}\right)^{\mathrm{2}} \:{dx}}{\:\sqrt{\mathrm{cos}\:^{\mathrm{2}}…

find-xdx-x-2-x-1-x-2-x-1-

Question Number 101271 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{find}\:\int\:\:\:\frac{\mathrm{xdx}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}}+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}}} \\ $$ Commented by Dwaipayan Shikari last updated on 01/Jul/20 $$\int\frac{{x}\left(\sqrt{{x}^{\mathrm{2}}…

Question-35732

Question Number 35732 by ajfour last updated on 22/May/18 Commented by ajfour last updated on 22/May/18 $${Find}\:{moment}\:{of}\:{inertia}\:{of}\:{disc} \\ $$$${about}\:{an}\:{axis},\:{as}\:{in}\:{figure}\:{above}, \\ $$$${if}\:{density}\:{of}\:{disc}\:{be}\:{proportional} \\ $$$${to}\:\mathrm{sin}\:\theta\:. \\ $$…