Question Number 63023 by mathmax by abdo last updated on 27/Jun/19 $${calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{x}^{\mathrm{2}} −\mathrm{3}}{{x}^{\mathrm{4}} \:+{x}^{\mathrm{2}} \:+\mathrm{1}}{dx}\:. \\ $$ Commented by mathmax by abdo last…
Question Number 63021 by kaivan.ahmadi last updated on 27/Jun/19 $${solve}\:{this}\:{equation} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}^{{y}} ={y}^{{x}} \\ $$$$ \\ $$$$ \\ $$$${x},{y}\in\mathbb{R}. \\ $$ Commented by…
Question Number 128557 by AgnibhoMukhopadhyay last updated on 08/Jan/21 $$\: \: \: \: \: \: \: \: \: \\ $$$$\: \: \: \\ $$ Answered…
Question Number 63017 by abderrahim last updated on 27/Jun/19 $$\mathrm{445}\boldsymbol{{x}}\frac{\mathrm{5}\boldsymbol{{x}}}{} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63015 by ajfour last updated on 27/Jun/19 $${f}\left({x},{y},{z}\right)=\:{x}\left({p}+{z}\right)+{y}\left({p}−{z}\right) \\ $$$$\:\:\:\:+\frac{\mathrm{4}{x}^{\mathrm{3}} }{{p}+{z}}+\frac{\mathrm{4}{y}^{\mathrm{3}} }{{p}−{z}}+\mathrm{4}\left({x}+{y}\right)^{\mathrm{2}} \left({y}−{x}\right) \\ $$$$\forall\:\:{p}\left({x},{y}\right)={c}+\left({x}−{y}\right)\sqrt{\mathrm{1}+\left({x}+{y}\right)^{\mathrm{2}} } \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right) \\ $$$${Determine}\:{x},{y},{z}\:{such}\:{that}\:{f}\:{is} \\…
Question Number 128546 by mr W last updated on 08/Jan/21 $${find}\:{a}\:{simple}\:{expression}\:{for} \\ $$$${y}=\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{sin}\:{x}\right) \\ $$$${x}\in\mathbb{R}\:{and}\:{x}\:{in}\:{rad}. \\ $$ Commented by liberty last updated on 08/Jan/21…
Question Number 128542 by bramlexs22 last updated on 08/Jan/21 $$\:\int\:\frac{\left(\mathrm{x}^{\mathrm{4}} −\mathrm{x}\right)^{\mathrm{1}/\mathrm{4}} }{\mathrm{x}^{\mathrm{5}} }\:\mathrm{dx}\:=? \\ $$ Answered by liberty last updated on 08/Jan/21 $$\:\gamma=\int\:\frac{\mathrm{x}\left(\mathrm{1}−\mathrm{x}^{−\mathrm{3}} \right)^{\mathrm{1}/\mathrm{4}} }{\mathrm{x}^{\mathrm{5}}…
Question Number 128540 by bramlexs22 last updated on 08/Jan/21 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{n}} −\mathrm{x}^{−\mathrm{n}} }{\mathrm{x}^{\mathrm{n}} +\mathrm{x}^{−\mathrm{n}} }\:,\mathrm{x}>\mathrm{1} \\ $$$$\mathrm{then}\:\int\:\frac{\mathrm{xf}\left(\mathrm{x}\right)\:\mathrm{ln}\:\left(\mathrm{x}+\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:\right)}{\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx}\:=? \\ $$ Commented by liberty last…
Question Number 128536 by liberty last updated on 08/Jan/21 $$\mathrm{Solution}\:\mathrm{of}\:\mathrm{differential}\:\mathrm{eq}\:\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{y}\left(\mathrm{x}−\mathrm{y}\:\mathrm{ln}\:\mathrm{y}\right)}{\mathrm{x}\left(\mathrm{x}\:\mathrm{ln}\:\mathrm{x}−\mathrm{y}\right)}\:. \\ $$$$\mathrm{is}\:\_ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62998 by mr W last updated on 27/Jun/19 $${Solve}\:{for}\:{x}:\:\:\mathrm{5}^{\boldsymbol{{x}}} +\mathrm{6}\boldsymbol{{x}}=\mathrm{7} \\ $$ Commented by mr W last updated on 27/Jun/19 $${Equation}\:{like}\:{this}\:{can}\:{be}\:{solved}\:{using} \\ $$$${Lambert}\:{W}\:{function}\:{as}\:{following}:…