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Category: Integration

1-x-5-1-dx-

Question Number 194975 by youssef last updated on 21/Jul/23 $$\int\frac{\mathrm{1}}{\boldsymbol{{x}}^{\mathrm{5}} +\mathrm{1}}\boldsymbol{{dx}} \\ $$ Commented by Frix last updated on 21/Jul/23 $$\mathrm{You}\:\mathrm{have}\:\mathrm{to}\:\mathrm{decompose} \\ $$$${x}^{\mathrm{5}} +\mathrm{1}=\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}{x}+\mathrm{1}\right)\left({x}^{\mathrm{2}}…

Question-194963

Question Number 194963 by C2coder last updated on 20/Jul/23 Answered by witcher3 last updated on 21/Jul/23 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{2asin}\left(\mathrm{x}\right)}{\mathrm{1}−\mathrm{a}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)}\right)\mathrm{dx}..? \\ $$$$ \\…

2-2-2x-2-8-1-2-y-x-2-1-2-y-x-2-3x-2-3z-2-dzdydx-

Question Number 194591 by horsebrand11 last updated on 11/Jul/23 $$\:\:\:\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\:\underset{\mathrm{2x}^{\mathrm{2}} } {\overset{\mathrm{8}} {\int}}\:\:\underset{−\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{x}^{\mathrm{2}} }} {\overset{\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{x}^{\mathrm{2}} }} {\int}}\:\left(\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{3z}^{\mathrm{2}} }\:\right)\mathrm{dzdydx} \\ $$ Terms of…

f-x-dx-f-x-dx-

Question Number 194515 by Kamel last updated on 08/Jul/23 $$\mid\int{f}\left({x}\right){dx}\mid=\int\mid{f}\left({x}\right)\mid{dx} \\ $$ Answered by witcher3 last updated on 11/Jul/23 $$\mathrm{what}\:\mathrm{information}?\mathrm{about}\:\mathrm{f}\:\mathrm{continus}\:\mathrm{or}\:\mathrm{by}\:\mathrm{part}? \\ $$ Terms of Service…