Category: Algebra

Question Number 119979 by huotpat last updated on 28/Oct/20 Commented by huotpat last updated on 28/Oct/20 $$Nwhenn\to +\mathrm{\infty }isnotx\to +\mathrm{\infty }$$ Answered by mathmax by abdo last…

Question Number 119939 by huotpat last updated on 28/Oct/20 Answered by bramlexs22 last updated on 28/Oct/20 $$\int \frac{(1-\sin {}^{2}x)\cos xdx}{1-2\sin x}$$$$[let\sin x=s]$$$$\int\:\frac{\left(\mathrm{1}−{s}^{\mathrm{2}} \right){ds}}{\mathrm{1}−\mathrm{2}{s}}\:=\:\int\:\frac{{s}^{\mathrm{2}} −\mathrm{1}}{\mathrm{2}{s}−\mathrm{1}}\:{ds} \…

Question Number 119921 by bramlexs22 last updated on 28/Oct/20 $$solvingthefollowingsystemofequations$$$$\{\begin{array}{l}\frac{3x-y}{x-3y}=x^2\\ \frac{3y-z}{y-3z}=y^2\\ \frac{3z-x}{z-3x}=z^2\end{array}$$ Answered by mindispower last updated on 28/Oct/20 $$\Rightarrow{x}=\frac{{z}^{\mathrm{3}}…

Question Number 119894 by danielasebhofoh last updated on 27/Oct/20 Answered by mathmax by abdo last updated on 28/Oct/20 $$\mathrm{let}{\mathrm{I}}_{\mathrm{n}}=\int \frac{\mathrm{dx}}{\mathrm{x}({\mathrm{x}}^{\mathrm{n}}-{\mathrm{a}}^{\mathrm{n}})}\mathrm{if}\mathrm{a}\ne 0\mathrm{we}\mathrm{do}\mathrm{the}\mathrm{changement}\mathrm{x}=\mathrm{at}\Rightarrow$$$$\mathrm{I}_{\mathrm{n}} =\int\:\frac{\mathrm{adt}}{\mathrm{at}\left(\mathrm{a}^{\mathrm{n}}…

Question Number 185403 by mathlove last updated on 21/Jan/23 $$\underset{k=1}{\sum ^{16}}(\sqrt{k}-\sqrt{k-1})=?$$ Answered by aba last updated on 21/Jan/23 $$=4$$ Answered…