Question Number 12490 by narendra last updated on 23/Apr/17 $$\mathrm{328976}/\mathrm{256} \\ $$ Commented by geovane10math last updated on 24/Apr/17 $$\frac{\mathrm{328976}}{\mathrm{256}}\:=\:\mathrm{1285},\mathrm{0625} \\ $$ Terms of Service…
Question Number 12489 by Joel577 last updated on 23/Apr/17 $$\mathrm{log}_{\mathrm{2}} \:{x}\:+\:\mathrm{log}_{\mathrm{1}/{x}} \:\frac{\mathrm{1}}{\mathrm{2}}\:\geqslant\:\mathrm{0} \\ $$$${x}\:=\:? \\ $$ Answered by mrW1 last updated on 23/Apr/17 $$\frac{\mathrm{ln}\:{x}}{\mathrm{ln}\:\mathrm{2}}+\frac{\mathrm{ln}\:\left(\frac{\mathrm{1}}{\mathrm{2}}\right)}{\mathrm{ln}\:\left(\frac{\mathrm{1}}{{x}}\right)}\geqslant\mathrm{0} \\…
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Question Number 12487 by geovane10math last updated on 23/Apr/17 $$\mathrm{Someone}\:\mathrm{has}\:\mathrm{been}\:\mathrm{solved}\:\mathrm{Goldbach}'\mathrm{s} \\ $$$$\mathrm{Conjecture}?? \\ $$ Commented by FilupS last updated on 24/Apr/17 $$\mathrm{Is}\:\mathrm{this}\:\mathrm{not}\:\mathrm{a}\:\mathrm{proof}?? \\ $$$$\: \\…
Question Number 143556 by Ar Brandon last updated on 15/Jun/21 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{dx}}{\mathrm{x}^{\alpha} \left(\mathrm{lnx}\right)^{\beta} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78021 by jagoll last updated on 13/Jan/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\left[\underset{\frac{\pi}{\mathrm{3}}} {\int}^{{x}^{\mathrm{2}} +\frac{\pi}{\mathrm{3}}} \frac{\mathrm{cos}\:{x}}{{x}}\:{dx}\:\right]\:= \\ $$ Commented by mr W last updated on 13/Jan/20…
Question Number 78012 by malwaan last updated on 13/Jan/20 $$\boldsymbol{{prove}}\:\boldsymbol{{that}} \\ $$$$\underset{\boldsymbol{{x}}\rightarrow\mathrm{1}} {\boldsymbol{{lim}}}\frac{\boldsymbol{{sin}}\left(\boldsymbol{\pi{cos}\pi{x}}\right)}{\left(\boldsymbol{{x}}−\mathrm{1}\right)^{\mathrm{2}} }\:=\:−\:\frac{\boldsymbol{\pi}^{\mathrm{3}} }{\mathrm{2}} \\ $$ Commented by msup trace by abdo last updated…
Question Number 78013 by jagoll last updated on 13/Jan/20 $${if}\::\:\mathrm{30}{x}^{\mathrm{4}} −\frac{\mathrm{15}}{\mathrm{8}}=\:\underset{{t}} {\overset{{x}} {\int}}\:{g}\left({u}\right){du} \\ $$$${find}\:{g}\left({t}\right). \\ $$ Answered by john santu last updated on 13/Jan/20…
Question Number 143545 by mathmax by abdo last updated on 15/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{logx}}{\mathrm{x}^{\mathrm{6}} \:+\mathrm{1}}\mathrm{dx} \\ $$ Answered by Pagnol last updated on 15/Jun/21 $$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 143546 by mathmax by abdo last updated on 15/Jun/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{log}^{\mathrm{2}} \mathrm{x}}{\left(\mathrm{8}+\mathrm{x}^{\mathrm{4}} \right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Answered by mathmax by abdo last…