Question Number 189144 by talminator2856792 last updated on 12/Mar/23 $$\: \\ $$$$\: \\ $$$$\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\sqrt{{x}\:+\:{y}\:+\:{z}}}{\:\sqrt{{x}}\:+\:\sqrt{{y}}\:+\:\sqrt{{z}}\:}\:{dxdydz} \\ $$$$\: \\ $$$$\: \\…
Question Number 123552 by Lordose last updated on 26/Nov/20 $$\int_{\:\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \mathrm{tan}^{\mathrm{n}} \left(\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by Adeleke last updated on 26/Nov/20 Answered by TANMAY…
Question Number 123550 by mnjuly1970 last updated on 26/Nov/20 $$\:\:\:\:\:\:\:\:\:\:\:….{nice}\:\:\:\:{mathematics}… \\ $$$$\:\:\:\:\:\:{evaluate}\::::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\infty} \left(\sqrt{{x}+\mathrm{1}}\:−\sqrt{{x}}\:\right)^{\mathrm{10}} {dx}=? \\ $$ Answered by Olaf last updated on…
Question Number 189066 by cortano12 last updated on 11/Mar/23 $$\:\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)+\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{2}} \:\mathrm{f}\left(\mathrm{y}\right)\:\mathrm{dy}=\mathrm{2x}^{\mathrm{2}} −\mathrm{3x}+\mathrm{1} \\ $$$$\:\mathrm{find}\:\mathrm{f}\left(\mathrm{x}\right). \\ $$ Answered by horsebrand11 last updated on 11/Mar/23…
Question Number 123526 by bramlexs22 last updated on 26/Nov/20 $$\:\:\underset{\mathrm{0}} {\overset{\infty} {\int}}\:\frac{{x}\:\mathrm{arctan}\:{x}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx}\:? \\ $$ Commented by liberty last updated on 26/Nov/20 $$\frac{\pi}{\mathrm{8}}\:? \\…
Question Number 57992 by Tinkutara last updated on 15/Apr/19 Answered by MJS last updated on 16/Apr/19 $$\underset{\mathrm{1}} {\overset{{c}} {\int}}\left(−{x}^{\mathrm{5}} +\mathrm{8}{x}^{\mathrm{2}} \right){dx}=\frac{\mathrm{16}}{\mathrm{3}} \\ $$$$−\frac{\mathrm{1}}{\mathrm{6}}{c}^{\mathrm{6}} +\frac{\mathrm{8}}{\mathrm{3}}{c}^{\mathrm{3}} −\frac{\mathrm{5}}{\mathrm{2}}=\frac{\mathrm{16}}{\mathrm{3}}…
Question Number 57991 by Tinkutara last updated on 15/Apr/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 189057 by neinhaltsieger369 last updated on 11/Mar/23 $$\: \\ $$$$\:\mathrm{Help}! \\ $$$$\: \\ $$$$\:\mathrm{Evaluate}\:\:\mathrm{the}\:\:\mathrm{following}\:\:\mathrm{integral}\:\:\mathrm{usings}\:\:\mathrm{Green}\:\mathrm{theorem}: \\ $$$$\: \\ $$$$\:\oint\mathrm{4xy}{d}\mathrm{x}\:\:+\:\:\mathrm{x}^{\mathrm{2}} {d}\mathrm{y} \\ $$$$\: \\ $$$$\:\mathrm{Where}\:\:{C}\:\:\mathrm{is}\:\:\mathrm{the}\:\:\mathrm{square}\:\:\mathrm{of}\:\:\mathrm{vertices}\:\:\left(\mathrm{0},\mathrm{0}\right),\:\left(\mathrm{0},\mathrm{2}\right),\:\left(\mathrm{2},\mathrm{0}\right)\:\:\mathrm{and}\:\:\left(\mathrm{2},\mathrm{2}\right).…
Question Number 123513 by bramlexs22 last updated on 26/Nov/20 $$\int\:\frac{\mathrm{sin}\:{x}+\mathrm{2cos}\:{x}}{\mathrm{3sin}\:{x}+\mathrm{4cos}\:{x}}\:{dx}? \\ $$ Commented by liberty last updated on 26/Nov/20 $${by}\:{partial}\:{fraction} \\ $$$${o}\left({x}\right)=\frac{\mathrm{11}}{\mathrm{25}}\int\:\frac{\mathrm{3sin}\:{x}+\mathrm{4cos}\:{x}}{\mathrm{3sin}\:{x}+\mathrm{4cos}\:{x}}{dx}+\frac{\mathrm{2}}{\mathrm{25}}\int\:\frac{\mathrm{3cos}\:{x}−\mathrm{4sin}\:{x}}{\mathrm{3sin}\:{x}+\mathrm{4cos}\:{x}}{dx} \\ $$$${o}\left({x}\right)=\frac{\mathrm{11}{x}}{\mathrm{25}}+\frac{\mathrm{2}}{\mathrm{25}}\ell{n}\:\mid\mathrm{3sin}\:{x}+\mathrm{4cos}\:{x}\mid\:+\:{c}\: \\…
Question Number 123494 by bemath last updated on 25/Nov/20 $$\:\int\:\frac{{x}−\mathrm{1}}{\left({x}+\mathrm{1}\right)\:\sqrt{{x}^{\mathrm{3}} +{x}^{\mathrm{2}} +{x}}}\:{dx}\:? \\ $$ Answered by bramlexs22 last updated on 26/Nov/20 $$\:{I}\left({x}\right)=\int\:\frac{{x}^{\mathrm{2}} −\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} +{x}^{\mathrm{2}}…