Category: Relation and Functions

Question Number 132422 by john_santu last updated on 14/Feb/21 $$\mathrm{Given}\mathrm{P}\left(\mathrm{x}\right)\mathrm{is}\mathrm{polynomial}.$$$$\mathrm{If}\mathrm{P}(\mathrm{x}+1)+\frac{\mathrm{P}\left(\mathrm{x}\right)}{\mathrm{x}}={(\mathrm{x}+1)}^2-2$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\frac{\mathrm{P}\left(\mathrm{x}\right)}{\mathrm{x}}$$ Answered by bemath last updated on 14/Feb/21 Terms…

Question Number 66800 by mathmax by abdo last updated on 19/Aug/19 $$calculate{U}_n={\int }_{\frac{1}{n}}^n\frac{arctan\left(x\right)}{1+x^2}dx$$$$anddetermine{lim}_{n\to +\mathrm{\infty }}{U}_n$$$$2)findnatureof\mathrm{\Sigma }{U}_n$$ Commented by…

Question Number 66799 by mathmax by abdo last updated on 19/Aug/19 $$let{S}_n=\sum _{k=1}^n\frac{{(-1)}^k}{\sqrt{k}}findaequivalentof{S}_{n}whenn\to +\mathrm{\infty }$$ Terms of Service Privacy Policy Contact:…

Question Number 66796 by mathmax by abdo last updated on 19/Aug/19 $$findthevalueof{\int }_0^1\frac{ln(1+x^2)}{x^2}dx$$ Commented by mathmax by abdo last updated…

Question Number 66789 by mathmax by abdo last updated on 19/Aug/19 $$sovethe\left(de\right)(1+2\sqrt{x})y^{{}^{\prime }}-(x+\sqrt{x-1})y=xsin\left(2x\right)$$ Commented by mathmax by abdo last updated on 20/Aug/19 $$\left({he}\right)\:\rightarrow\left(\mathrm{1}+\mathrm{2}\sqrt{{x}}\right){y}^{'}…