Question Number 128926 by liberty last updated on 11/Jan/21 $$\:\beta\:=\:\int_{\mathrm{0}} ^{\:\mathrm{5}} \:\frac{{dx}}{{x}^{\mathrm{3}} \left(\mathrm{1}+{e}^{{x}} \right)^{\mathrm{2}} }\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63389 by mathmax by abdo last updated on 03/Jul/19 $${f}\:{function}\:{integrable}\:{on}\:\left[{a},{b}\right] \\ $$$${is}\:{max}\:\int_{{a}} ^{{b}} {f}\left({x}\right){dx}\:=\int_{{a}} ^{{b}} \:{maxf}\left({x}\right){dx}?\:\:{if}\:{not}\:{give}\:{a}\:{opposite}\:{example}\:. \\ $$ Commented by MJS last updated…
Question Number 128922 by mnjuly1970 last updated on 11/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…{advanced}\:\:{calculus}… \\ $$$$\:\:\:\:\:{evaluate}\::::\: \\ $$$$\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}\:} ^{\:\frac{\mathrm{1}}{\mathrm{2}}} \frac{\mathrm{Arctanh}\left({x}\right)}{{x}}{dx}=? \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last…
Question Number 128918 by Koyoooo last updated on 11/Jan/21 Commented by MJS_new last updated on 11/Jan/21 $$\mathrm{not}\:\mathrm{true}. \\ $$$$\mathrm{i}.\mathrm{e}.\:{a}=\mathrm{0}\wedge{b}=−\mathrm{4}\:\Rightarrow\:\mathrm{result}\:\mathrm{is}\:\mathrm{32} \\ $$ Commented by mr W…
Question Number 63383 by minh2001 last updated on 03/Jul/19 $${solve}\:{this}\:{equation}\:{in}\:{all}\: \\ $$$${part}\:{of}\:{complex}\:{number}: \\ $$$$\sqrt{\left({x}^{\mathrm{9}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}−\mathrm{6}\right)+\mathrm{4}}=\left({x}^{\mathrm{9}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}−\mathrm{6}\right)−\mathrm{16} \\ $$ Commented by MJS last updated…
Question Number 63381 by minh2001 last updated on 03/Jul/19 $${solve}\:{for}\:{both}\:{x}\:{and}\:{n} \\ $$$${in}\:{equation}:\:{x}^{{n}} =\mathrm{216}\:{in}\:{all} \\ $$$${part}\:{of}\:{integer} \\ $$$$\mathscr{A}\:\underset{{n}=\mathrm{3}} {\overset{{x}=\mathrm{6}} {\left\{}}\right. \\ $$$$\mathscr{B}\underset{{n}=\mathrm{4}} {\overset{{x}=\mathrm{5}} {\left\{}}\right. \\ $$$$\mathscr{C}\underset{{n}=\mathrm{5}}…
Question Number 63378 by minh2001 last updated on 03/Jul/19 $$\underset{\mathrm{2}} {\overset{{x}} {\int}}\frac{\mathrm{1}}{{x}}{dx}=\mathrm{2}{ln}\left(\mathrm{3}\right)−{ln}\left(\mathrm{2}\right) \\ $$$${please}\:{help}\:{me}\:{to}\:{solve}\:{for}\:{x} \\ $$ Answered by MJS last updated on 03/Jul/19 $$\mathrm{the}\:\mathrm{borders}\:\mathrm{must}\:\mathrm{be}\:\mathrm{independent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{variable} \\…
Question Number 128910 by shaker last updated on 11/Jan/21 Answered by bramlexs22 last updated on 11/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{n}} −\mathrm{2}^{\mathrm{n}} −\mathrm{nx}.\mathrm{2}^{\mathrm{n}−\mathrm{1}} +\mathrm{n}.\mathrm{2}^{\mathrm{n}} }{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} }= \\ $$$$\:\underset{{x}\rightarrow\mathrm{2}}…
Question Number 128908 by bramlexs22 last updated on 11/Jan/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{4}}\:−\sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{16}}\:\right)=? \\ $$ Answered by Dwaipayan Shikari last updated on 11/Jan/21 $$\left({x}^{\mathrm{2}} \sqrt{\mathrm{1}+\frac{\mathrm{4}}{{x}^{\mathrm{2}}…
Question Number 63373 by MJS last updated on 31/Jul/19 $$\mathrm{just}\:\mathrm{found}\:\mathrm{this}\:\mathrm{on}\:\mathrm{the}\:\mathrm{web} \\ $$$$\mathrm{I}\:\mathrm{thought}\:\mathrm{it}\:\mathrm{might}\:\mathrm{help}\:\mathrm{in}\:\mathrm{some}\:\mathrm{cases}\:\mathrm{where} \\ $$$$\mathrm{quartics}\:\mathrm{appear}\:\mathrm{i}.\mathrm{e}.\:\mathrm{Sir}\:\mathrm{Aifour}'\mathrm{s}\:\mathrm{geometric} \\ $$$$\mathrm{questions}.\:\mathrm{sometimes}\:\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{nature}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{roots},\:\mathrm{but}\:\mathrm{how}\:\mathrm{to}\:\mathrm{use}\:\mathrm{this}\:\mathrm{information}? \\ $$$$ \\ $$$${ax}^{\mathrm{4}} +{bx}^{\mathrm{3}} +{cx}^{\mathrm{2}} +{dx}+{e}=\mathrm{0}…