Category: Integration

Question Number 209332 by efronzo1 last updated on 07/Jul/24 Answered by Frix last updated on 07/Jul/24 $$x^3-8x^2+(16-k)x=0$$$${x}_{\mathrm{1}} =\mathrm{0}\:\:{x}_{\mathrm{2}} =\mathrm{4}−\sqrt{{k}}\:\:{x}_{\mathrm{3}} =\mathrm{4}+\sqrt{{k}} \…

Question Number 208900 by KradecaNaLukcheta last updated on 26/Jun/24 $$Doesanyoneknowofanintuition$$$$behindtheintegralformofthe$$$$remainderin{Taylor}^{\prime }stheorem?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 208842 by NasaSara last updated on 24/Jun/24 $$doestheruleofoddandevenfunctions$$$$canbeappliedwithimproperintegration?$$$$I={\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}{xe}^{-x^2}dx$$$$whilef\left(x\right)={xe}^{-x^2}isodd$$$${then}\:{I}\:=\mathrm{0} \…

Question Number 208805 by Mastermind last updated on 23/Jun/24 $$\mathrm{Integrate}:$$$$(\mathrm{xdz}-\mathrm{zdx})-{\mathrm{a}}^2(2\mathrm{xzdz}-{\mathrm{z}}^2\mathrm{dx})+{2\mathrm{x}}^3=0$$ Commented by mr W last updated on 23/Jun/24…

Question Number 208693 by Frix last updated on 21/Jun/24 $$\mathrm{Calculate}\mathrm{the}\mathrm{area}\mathrm{enclosed}\mathrm{by}\mathrm{the}\mathrm{curve}$$$${(\frac{1}{x}-2)}^2+{(\frac{1}{y}-2)}^2=1$$ Answered by mr W last updated on 21/Jun/24 $$\frac{\mathrm{1}}{{x}}−\mathrm{2}={u}\:\Rightarrow{x}=\frac{\mathrm{1}}{\mathrm{2}+{u}}…