Question Number 20309 by NECC last updated on 25/Aug/17 $$\int{x}^{{x}} {dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 85845 by jagoll last updated on 25/Mar/20 $$\mathrm{solve}\:\mathrm{tanh}\:\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{cosh}\:\left(\mathrm{x}\right)} \\ $$ Answered by MJS last updated on 25/Mar/20 $$\frac{\mathrm{sinh}\:{x}}{\mathrm{cosh}\:{x}}=\frac{\mathrm{1}}{\mathrm{cosh}\:{x}} \\ $$$$\mathrm{cosh}\:{x}\:\neq\mathrm{0}\:\forall{x}\in\mathbb{R} \\ $$$$\mathrm{cosh}\:{x}\:\neq\mathrm{0}\:\Rightarrow\:{x}\neq\left(\frac{\mathrm{2}{n}+\mathrm{1}}{\mathrm{2}}\right)\pi\mathrm{i} \\…
Question Number 20308 by Tinkutara last updated on 25/Aug/17 $$\mathrm{For}\:\mathrm{what}\:\mathrm{value}\:\mathrm{of}\:{k},\:\left({x}\:+\:{y}\:+\:{z}\right)^{\mathrm{2}} \:+ \\ $$$${k}\left({x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} \:+\:{z}^{\mathrm{2}} \right)\:\mathrm{can}\:\mathrm{be}\:\mathrm{resolved}\:\mathrm{into} \\ $$$$\mathrm{linear}\:\mathrm{rational}\:\mathrm{factors}? \\ $$ Answered by Tinkutara last updated…
Question Number 151377 by zakirullah last updated on 20/Aug/21 $$\:\:\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{equation}}\:\left(\boldsymbol{\mathrm{y}}+\mathrm{13}\right)\left(\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{a}}\right)\:\boldsymbol{\mathrm{has}}\:\boldsymbol{\mathrm{no}}\:\boldsymbol{\mathrm{linear}}\:\boldsymbol{\mathrm{term}}.\: \\ $$$$\:\:\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{a}}?\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{means}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{no}}\:\boldsymbol{\mathrm{linear}}\:\boldsymbol{\mathrm{term}}.\:\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{expkain}}? \\ $$$$ \\ $$ Commented by mr W last updated on 20/Aug/21 $${example}:…
Question Number 20307 by Tinkutara last updated on 25/Aug/17 $$\mathrm{Show}\:\mathrm{that}\:{a}\left({b}\:−\:{c}\right){x}^{\mathrm{2}} \:+\:{b}\left({c}\:−\:{a}\right){xy}\:+ \\ $$$${c}\left({a}\:−\:{b}\right){y}^{\mathrm{2}} \:\mathrm{will}\:\mathrm{be}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square}\:\mathrm{if}\:{a}, \\ $$$${b},\:{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{H}.\mathrm{P}. \\ $$ Answered by ajfour last updated on 25/Aug/17…
Question Number 151376 by liberty last updated on 20/Aug/21 $$\:\:\:\:\int\:\frac{\mathrm{x}^{\mathrm{8}} +\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{9}} −\mathrm{2x}^{\mathrm{8}} +\mathrm{1}}}\:\mathrm{dx}\:?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 85839 by sahnaz last updated on 25/Mar/20 $$\int\mathrm{x}×\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}}\mathrm{dx} \\ $$ Commented by jagoll last updated on 25/Mar/20 $$\int\:\frac{\mathrm{x}\:\mathrm{dx}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{\mathrm{d}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{1}/\mathrm{2}} }…
Question Number 151374 by mnjuly1970 last updated on 20/Aug/21 $$ \\ $$$$\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{ln}\:\left(\frac{\mathrm{1}}{{x}}\:\right)}{\mathrm{1}\:+{e}^{\:\mathrm{2}{x}} }\:{dx}\:\overset{?} {=}\:\frac{\mathrm{3}}{\mathrm{2}}\:{ln}^{\:\mathrm{2}} \left(\:\mathrm{2}\:\right) \\ $$$$\:\:{m}.{n} \\ $$ Terms of Service Privacy…
Question Number 85834 by sahnaz last updated on 25/Mar/20 $$\mathrm{2y}^{'} −\frac{\mathrm{x}}{\mathrm{y}}=\frac{\mathrm{xy}}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \\ $$ Answered by mind is power last updated on 27/Mar/20 $$\Leftrightarrow\mathrm{2}{y}'{y}−{x}=\frac{{xy}^{\mathrm{2}} }{{x}^{\mathrm{2}}…
Question Number 85835 by sahnaz last updated on 25/Mar/20 $$\mathrm{xydy}=\left(\mathrm{y}^{\mathrm{2}} +\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by TANMAY PANACEA. last updated on 25/Mar/20 $${xydy}−{y}^{\mathrm{2}} {dx}={xdx} \\ $$$${y}\left({xdy}−{ydx}\right)={xdx}…