Question Number 139092 by mathdanisur last updated on 22/Apr/21 $$\Omega=\underset{\mathrm{0}} {\overset{\infty} {\int}}\frac{{xsinh}\left(\pi{x}\right){e}^{−{x}^{\mathrm{2}} } }{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 8022 by Nayon last updated on 28/Sep/16 $$ \\ $$$${prove}\:{that}\:\forall{x}\in\boldsymbol{{N}}\: \\ $$$$\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{2}{x}^{\mathrm{2}} −\mathrm{2}{x}\right)^{\mathrm{2}} \:\:{is}\:{a}\:{proper} \\ $$$${square}\:{number}. \\ $$ Commented by prakash jain…
Question Number 73555 by Rio Michael last updated on 13/Nov/19 $${find}\: \\ $$$$\left.{a}\right)\:\:\underset{{x}\rightarrow−\infty} {{Lim}}\:\frac{{ln}\left(\mathrm{1}+{e}^{{x}} \right)}{{e}^{{x}} } \\ $$$$\left.{b}\right)\:\underset{{x}\rightarrow+\infty} {{lim}}\:\left(\sqrt{{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}}\:\:−{x}\right) \\ $$$$\left.{c}\right)\:\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\sqrt{{x}}\:{ln}\left({sinx}\right) \\ $$$$\left.{d}\right)\:\:\underset{{x}\rightarrow+\infty}…
Question Number 73552 by Rio Michael last updated on 13/Nov/19 $${evaluate}\: \\ $$$$\underset{{x}\rightarrow+\infty} {\:{Lim}}\:{xln}\:\left(\frac{{x}+\mathrm{1}}{{x}}\right) \\ $$ Commented by mathmax by abdo last updated on 13/Nov/19…
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Question Number 73553 by 01 last updated on 13/Nov/19 $$\mathrm{give}:\:\mathrm{a},\mathrm{b},\mathrm{c}>\mathrm{0} \\ $$$$\mathrm{if}\:\mathrm{a}\mid\mathrm{b}\:\mathrm{and}\:\mathrm{b}\mid\mathrm{c} \\ $$$$\mathrm{prove}\::\:\mathrm{a}\mid\mathrm{c} \\ $$ Answered by Rio Michael last updated on 13/Nov/19 $${a}\mid{b}\:\Leftrightarrow\:\exists\:{k}\in\mathbb{Z}\::\:\:{b}\:=\:{ka}\:……\left({i}\right)…
Question Number 8016 by Nayon last updated on 28/Sep/16 $$ \\ $$$$ \\ $$$$\:{if}\:{x}\neq\mathrm{0}\:{then} \\ $$$${prove}\rightarrow \\ $$$$\:\:\:\:\frac{{x}^{\mathrm{4}} +{x}^{−\mathrm{4}} +\mathrm{1}}{{x}^{\mathrm{3}} +{x}^{−\mathrm{3}} }=\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}}−\frac{{x}}{{x}^{\mathrm{2}} +\mathrm{1}} \\…
Question Number 73550 by Rio Michael last updated on 13/Nov/19 $${solve}\: \\ $$$$\:\:\mathrm{87}{x}\:\equiv\:\mathrm{3}\:\left({mod}\:\mathrm{5}\right)\:{and} \\ $$$$\:\mathrm{55}{x}\:\equiv\:\mathrm{35}\:\left({mod}\:\mathrm{75}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 8015 by tawakalitu last updated on 28/Sep/16 $$\int\frac{\sqrt{\mathrm{1}\:+\:{x}^{\mathrm{2}} }}{\mathrm{1}\:+\:{x}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73551 by Rio Michael last updated on 13/Nov/19 $${how}\:{many}\:{divisors}\:{does}\:\mathrm{38500}\:{have}? \\ $$ Answered by mind is power last updated on 13/Nov/19 $$\mathrm{38500} \\ $$$$=\mathrm{10}^{\mathrm{2}}…