Question Number 133674 by liberty last updated on 23/Feb/21 $$\int\:\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{\mathrm{x}}}}\:\mathrm{dx}\:=?\: \\ $$ Answered by EDWIN88 last updated on 23/Feb/21 $$\:\mathrm{let}\:\mathrm{y}\:=\:\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\sqrt{\mathrm{x}}}}\:\Rightarrow\sqrt{\mathrm{1}+\sqrt{\mathrm{x}}}\:=\:\mathrm{y}^{\mathrm{2}} −\mathrm{1} \\ $$$$\Rightarrow\mathrm{1}+\sqrt{\mathrm{x}}\:=\:\mathrm{y}^{\mathrm{4}} −\mathrm{2y}^{\mathrm{2}} +\mathrm{1}\:,\:\mathrm{x}\:=\:\left(\mathrm{y}^{\mathrm{4}}…
Question Number 133669 by Study last updated on 23/Feb/21 $$\frac{\mathrm{1}}{\mathrm{3}}{y}−\mathrm{5}\left\{−\mathrm{2}\left[\mathrm{6}\left({y}−\frac{\mathrm{1}}{\mathrm{3}}−{y}\right]\right\}\boldsymbol{\div}\mathrm{3}=?\right. \\ $$ Commented by Ar Brandon last updated on 23/Feb/21 ���� Commented by Study last…
Question Number 133668 by Study last updated on 23/Feb/21 $$\mathrm{2}{x}×−\mathrm{2}\left\{\mathrm{3}{x}−\left(\mathrm{2}+{x}\right)−\mathrm{1}\right\}\boldsymbol{\div}\mathrm{2}=? \\ $$ Commented by Study last updated on 24/Feb/21 $${why}\:{you}\:{not}\:{ans}\:{me}? \\ $$ Terms of Service…
Question Number 68132 by mr W last updated on 05/Sep/19 Commented by kaivan.ahmadi last updated on 05/Sep/19 $${a}+\beta+\theta=\mathrm{180}\:\:\:\left(\mathrm{1}\right) \\ $$$$\alpha+\beta−{a}=\mathrm{0}\:\:\:\:\:\left(\mathrm{2}\right) \\ $$$$\mathrm{2}\alpha−\mathrm{2}\theta+{b}=\mathrm{0}\:\:\:\left(\mathrm{3}\right) \\ $$$$\left(\mathrm{3}\right)−\left(\mathrm{2}\right):\:\alpha−\mathrm{2}\theta−\beta+\left({a}+{b}\right)=\mathrm{0}\Rightarrow\mathrm{2}\theta+\beta−\alpha=\mathrm{120}\:\:\:\left(\mathrm{4}\right) \\…
Question Number 68133 by mr W last updated on 05/Sep/19 $${solve}\:{y}''={y}'{y} \\ $$ Answered by mind is power last updated on 05/Sep/19 $$\Rightarrow{y}^{'} =\frac{{y}^{\mathrm{2}} }{\mathrm{2}}+{s}…
Question Number 133664 by shaker last updated on 23/Feb/21 Answered by liberty last updated on 23/Feb/21 $$\mathrm{partial}\:\mathrm{fraction} \\ $$$$\frac{\mathrm{1}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)}\:=\:\frac{\mathrm{A}}{\mathrm{x}+\mathrm{1}}+\frac{\mathrm{B}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }+\frac{\mathrm{Cx}+\mathrm{D}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}} \\ $$$$\Leftrightarrow\:\mathrm{1}=\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}}…
Question Number 68129 by mathmax by abdo last updated on 05/Sep/19 $${prove}\:{that}\:\pi{cotan}\left(\alpha\pi\right)=\frac{\mathrm{1}}{\alpha}\:+\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{2}\alpha}{\alpha^{\mathrm{2}} −{n}^{\mathrm{2}} } \\ $$$${with}\:\alpha\:\in{R}−{Z}\:\:. \\ $$$${prove}\:{also}\:{that}\:\:\:{for}\:{t}\neq\mathrm{0} \\ $$$${cotan}\left({t}\right)\:=\frac{\mathrm{1}}{{t}}\:+\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{2}{t}}{{t}^{\mathrm{2}} −{n}^{\mathrm{2}}…
Question Number 2589 by Filup last updated on 23/Nov/15 $${f}_{{n}} =\frac{\mathrm{1}}{{n}}\left({n}+{f}_{{n}−\mathrm{1}} \right) \\ $$$${f}_{\mathrm{1}} =\mathrm{1} \\ $$$$ \\ $$$$\mathrm{Evaluate}: \\ $$$${S}=\underset{{i}=\mathrm{1}} {\overset{{m}} {\sum}}{f}_{{i}} \\ $$…
Question Number 133657 by mohammad17 last updated on 23/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68122 by TawaTawa last updated on 05/Sep/19 Commented by TawaTawa last updated on 05/Sep/19 $$\mathrm{Please}\:\mathrm{i}\:\mathrm{don}'\mathrm{t}\:\mathrm{understand}\:\mathrm{the}\:\mathrm{workings}\:\mathrm{here}.\:\:\mathrm{Help}\:\mathrm{me}\:\mathrm{explain}\:\mathrm{please} \\ $$ Answered by mind is power last…