Question Number 101715 by Tinku Tara last updated on 04/Jul/20 $$\mathrm{Deleted}\:\mathrm{a}\:\mathrm{few}\:\mathrm{comments}. \\ $$ Commented by mr W last updated on 04/Jul/20 $${sorry}\:{that}\:{this}\:{one}\:{single}\:{asshole}\:{has} \\ $$$${caused}\:{so}\:{much}\:{disturbance}\:{in}\:{the} \\…
Question Number 167233 by mkam last updated on 10/Mar/22 $$\int\:\frac{{lnx}}{{x}+\mathrm{1}}{dx} \\ $$ Answered by mindispower last updated on 10/Mar/22 $$={ln}\left({x}\right){ln}\left(\mathrm{1}+{x}\right)−\int\frac{{ln}\left(\mathrm{1}+{x}\right)}{{x}}{dx} \\ $$$$={ln}\left({x}\right){ln}\left(\mathrm{1}+{x}\right)−\int\frac{{ln}\left(\mathrm{1}−\left(−{x}\right)\right)}{−{x}}{d}\left(−{x}\right) \\ $$$$={ln}\left({x}\right){ln}\left(\mathrm{1}+{x}\right)+{Li}_{\mathrm{2}} \left(−{x}\right)+{c}…
Question Number 167220 by tabata last updated on 09/Mar/22 Answered by MikeH last updated on 10/Mar/22 $$\mid\mathrm{3}{x}−\mathrm{4}\mid\:\geqslant\:\mathrm{5} \\ $$$$\Rightarrow\:\mathrm{3}{x}−\mathrm{4}\:\leqslant\:−\mathrm{5}\:\mathrm{or}\:\mathrm{3}{x}−\mathrm{4}\:\geqslant\:\mathrm{5} \\ $$$$\Rightarrow\:{x}\:\leqslant−\frac{\mathrm{1}}{\mathrm{3}}\:\:\mathrm{or}\:{x}\:\geqslant\:\mathrm{3} \\ $$ Answered by…
Question Number 167216 by zakirullah last updated on 09/Mar/22 $${Transform}\:{the}\:{equation}\:\mathrm{7}{x}−\mathrm{10}{y}+\mathrm{13}=\mathrm{0} \\ $$$${into}: \\ $$$${a}.\:\:\mathrm{S}{lope}\:{intercept}\:{form}: \\ $$$${b}.\:\:{Symmetric}\:{form}: \\ $$$${c}.\:\:{Normal}\:{form}: \\ $$ Terms of Service Privacy Policy…
Question Number 101671 by mathocean1 last updated on 04/Jul/20 $${What}\:{is}\:{the}\:{set}\:{of}\:{point}\:{M}\:{in}\:{each} \\ $$$${case}: \\ $$$$\left.\mathrm{1}\right)\:\:\:\:\mid\mid\mathrm{6}\overset{\rightarrow} {{MG}}\mid\mid=\mid\mid−\mathrm{2}\overset{\rightarrow} {{GC}}\mid\mid \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\left(\mathrm{6}\overset{\rightarrow} {{MG}}\right)×\left(−\mathrm{2}\overset{\rightarrow} {{GC}}\right)=\mathrm{0} \\ $$ Terms of Service…
Question Number 167202 by DAVONG last updated on 09/Mar/22 Answered by Rasheed.Sindhi last updated on 09/Mar/22 $$\mathrm{B}=\mathrm{3}+\mathrm{13}+\mathrm{31}+…+\left(\mathrm{4}{n}^{\mathrm{2}} −\mathrm{2}{n}+\mathrm{1}\right) \\ $$$$\mathrm{B}=\underset{{n}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\mathrm{4}{n}^{\mathrm{2}} −\mathrm{2}{n}+\mathrm{1}\right) \\ $$$$=\mathrm{4}\underset{{n}=\mathrm{1}}…
Question Number 36128 by mondodotto@gmail.com last updated on 29/May/18 $$\int\boldsymbol{\mathrm{sin}}^{\mathrm{8}} \boldsymbol{{xdx}} \\ $$$$\int\boldsymbol{\mathrm{sin}}^{\mathrm{6}} \boldsymbol{{xdx}} \\ $$ Commented by Joel579 last updated on 29/May/18 Commented by…
Question Number 101658 by mathocean1 last updated on 03/Jul/20 $${solve}\:{in}\:\mathbb{R} \\ $$$${x}^{\mathrm{3}} −\mathrm{4}{x}−\mathrm{1}=\mathrm{0} \\ $$ Answered by 1549442205 last updated on 04/Jul/20 $$\left(\mathrm{Please},\mathrm{get}\:\mathrm{his}\:\mathrm{permission}\:\mathrm{to}\:\mathrm{submit}\:\mathrm{the}\right. \\ $$$$\left.\mathrm{way}\:\mathrm{that}\:\mathrm{he}\:\mathrm{made}\:\mathrm{for}\:\mathrm{the}\:\mathrm{eqs}\:\mathrm{of}\:\mathrm{that}\:\mathrm{type}\:\right)…
Question Number 167181 by mathocean1 last updated on 08/Mar/22 $${Given}\:{x},\:{c}\:\in\:\mathbb{R}. \\ $$$$\left({u}_{{n}} \right)_{{n}\in\mathbb{N}\:} :\begin{cases}{{u}_{\mathrm{0}} =\mathrm{0}}\\{{u}_{{n}+\mathrm{1}} ={xsin}\left({u}_{{n}} \right)+{c}}\end{cases} \\ $$$$\mathrm{1}.{Show}\:{that}\:\mid{u}_{{n}+\mathrm{1}} −{u}_{{n}} \mid\leqslant\mid{c}\mid\mid{x}^{{n}} \mid. \\ $$$$\mathrm{2}.{Show}\:{that}\::\:\left(\mid{x}\mid<\mathrm{1}\:{et}\:{m}\geqslant{n}\:\Rightarrow\mid{u}_{{m}} −{u}_{{n}}…
Question Number 101645 by mathocean1 last updated on 03/Jul/20 $${E}\:{is}\:{a}\:{vectorial}\:{plane}\:{in}\:{B}=\left(\overset{\rightarrow} {{i}},\overset{\rightarrow} {{j}}\right) \\ $$$${base}.\:{f}\:{is}\:{an}\:{endomorphism}\:{of}\:{E}. \\ $$$${f}\left(\overset{\rightarrow} {{i}}\right)=\mathrm{4}\overset{\rightarrow} {{i}}−\overset{\rightarrow} {{j}}\:{and}\:{f}\left(\overset{\rightarrow} {{j}}\right)=\mathrm{2}\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}. \\ $$$$\overset{\rightarrow} {{u}}={x}\overset{\rightarrow}…