Question Number 166829 by mnjuly1970 last updated on 01/Mar/22 $$ \\ $$$$\:\:\:\:\:\:\:\:{calculate}\: \\ $$$$\:\:\:\mathrm{I}{f}\:,\:\:\:\:{f}\left({x}\right)=\frac{\:\left({x}^{\mathrm{2}} +\mathrm{1}\right)\sqrt[{\mathrm{3}}]{\left({x}^{\:\mathrm{2}} +{x}−\mathrm{2}\right)\left({x}^{\:\mathrm{4}} −\mathrm{1}\right)\left({x}^{\:\mathrm{2}} +\mathrm{2}{x}−\mathrm{3}\right)+\mathrm{16}}\:\:+\:\sqrt{{x}^{\:\mathrm{2}} +\mathrm{3}}}{\left(\:\mathrm{1}+{x}\:+{x}^{\:\mathrm{2}} \right)} \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{then}\:,\:\:\:\:{f}\:'\:\left(\mathrm{1}\:\right)\:=?\:\:\:\:\:\:\:\:\:\:\:\:\:\blacksquare\:{m}.{n} \\…
Question Number 101286 by student work last updated on 01/Jul/20 $$\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}…
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 $$\int\:\left({x}^{{m}−\frac{\mathrm{1}}{\mathrm{2}}} \:−\:{x}^{{n}−\frac{\mathrm{1}}{\mathrm{2}}} \right)\:{dx}\:=\:\frac{\mathrm{2}{x}^{{m}+\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 101277 by bobhans last updated on 01/Jul/20 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\left({x}−\mathrm{1}\right)\:{dx}\:}{\left({x}+\mathrm{1}\right)\mathrm{ln}\:\left({x}\right)} \\ $$$$ \\ $$ Answered by maths mind last updated on 01/Jul/20 $$=\int_{\mathrm{0}}…
Question Number 101272 by bemath last updated on 01/Jul/20 $$\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} \\ $$$$\mathrm{I}_{\mathrm{1}} \:=\:\int\:\frac{\left(\mathrm{cos}\:\frac{{x}}{\mathrm{2}}−\mathrm{sin}\:\frac{{x}}{\mathrm{2}}\right)^{\mathrm{2}} \:{dx}}{\:\sqrt{\mathrm{cos}\:^{\mathrm{2}}…
Question Number 101271 by mathmax by abdo last updated on 01/Jul/20 $$\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 Number 101270 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{calculate}\:\int_{\mathrm{1}} ^{+\infty} \:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}} \left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy…
Question Number 101269 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{calculate}\:\int_{\mathrm{4}} ^{+\infty} \:\:\:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{5}} \left(\mathrm{x}+\mathrm{3}\right)^{\mathrm{7}} } \\ $$ Answered by mathmax by abdo last updated…
Question Number 101268 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\frac{\mathrm{cos}\left(\mathrm{arctan}\left(\mathrm{2x}+\mathrm{1}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{2x}+\mathrm{2}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 35732 by ajfour last updated on 22/May/18 Commented by ajfour last updated on 22/May/18 $${Find}\:{moment}\:{of}\:{inertia}\:{of}\:{disc} \\ $$$${about}\:{an}\:{axis},\:{as}\:{in}\:{figure}\:{above}, \\ $$$${if}\:{density}\:{of}\:{disc}\:{be}\:{proportional} \\ $$$${to}\:\mathrm{sin}\:\theta\:. \\ $$…