Question Number 138728 by qaz last updated on 17/Apr/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{ln}\left(\mathrm{1}+\mathrm{cos}\:{x}\right)}{\mathrm{1}+{e}^{{x}} }{dx}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 7656 by Tawakalitu. last updated on 07/Sep/16 $${If}\:\:{S}_{{n}} \:\left({sum}\:{of}\:{sequence}\right)\:=\:\mathrm{2}{n}^{\mathrm{2}} \:+\:{n} \\ $$$${Find}\:{the}\:{value}\:{of}\:{the}\:\mathrm{1002}\:{term} \\ $$ Commented by prakash jain last updated on 12/Sep/16 $${n}^{{th}}…
Question Number 138725 by mathsuji last updated on 17/Apr/21 $${Solve}\:{for}\:{real}\:{numbers} \\ $$$$\frac{{sin}\left({sinx}\right)}{{sinx}}\:+\:\frac{{cos}\left({cosx}\right)}{{cosx}}\:=\:\mathrm{1} \\ $$ Answered by mr W last updated on 18/Apr/21 $${t}=\mathrm{sin}\:{x} \\ $$$$\mathrm{cos}\:{x}=\pm\sqrt{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 7655 by Tawakalitu. last updated on 07/Sep/16 $$\left(\frac{\mathrm{8}}{{x}}\right)^{{x}} \:=\:\:{x}^{\mathrm{2}} \\ $$$$ \\ $$$${Show}\:{that}\:\:{x}\:=\:\mathrm{4} \\ $$ Commented by FilupSmith last updated on 07/Sep/16 $$\mathrm{trial}\:\mathrm{and}\:\mathrm{error}…
Question Number 73191 by Mr. K last updated on 07/Nov/19 $${find}\:{x}\:{and}\:{y}: \\ $$$$\begin{cases}{\mathrm{2}{x}^{{y}} −{x}^{−{y}} =\mathrm{1}}\\{{log}_{\mathrm{2}} {y}=\sqrt{{x}}}\end{cases} \\ $$ Answered by mind is power last updated…
Question Number 7654 by Rohit last updated on 07/Sep/16 $${Q}.\mathrm{1}\:{which}\:{term}\:{of}\:{the}\:{sequence}\:\mathrm{2005}, \\ $$$$\mathrm{2000},\mathrm{1995},\mathrm{1990},\mathrm{1985},…………………… \\ $$$${is}\:{the}\:{first}\:{negative}\:{term}. \\ $$$${plese}\:{give}\:{answer} \\ $$$${Q}.\mathrm{2}\:{for}\:{an}\:{A}.{P}.\:{show}\:{that}\:{t}_{{m}} +{t}_{\mathrm{2}{n}+{m}} \\ $$$$=\:\mathrm{2}{t}_{{m}+{n}} \\ $$$${give}\:{answer} \\ $$$${Q}.\mathrm{3}\:{find}\:{the}\:{maximum}\:{sum}\:{of}\:{the}\:…
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Question Number 7651 by FilupSmith last updated on 07/Sep/16 $${P}=\underset{{n}=\mathrm{1}} {\overset{{k}} {\prod}}{n}^{{n}} \\ $$$${P}=??? \\ $$ Commented by FilupSmith last updated on 07/Sep/16 $${P}=\mathrm{1}\left(\mathrm{2}×\mathrm{2}\right)\left(\mathrm{3}×\mathrm{3}×\mathrm{3}\right)\left(\mathrm{4}×\mathrm{4}×\mathrm{4}×\mathrm{4}\right)… \\…
Question Number 138723 by mnjuly1970 last updated on 17/Apr/21 $$\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:……..{advanced}…\:…\:…{math}…… \\ $$$$\:{prove}\:{that}\:_{\ast} ^{\ast} \:\::::: \\ $$$$\:\:\:\boldsymbol{\Omega}=\underset{{k}=\mathrm{0}} {\overset{\infty} {\sum}}\left\{\frac{\mathrm{1}}{\mathrm{16}^{{k}} }\left(\frac{\mathrm{4}}{\mathrm{8}{k}+\mathrm{1}}−\frac{\mathrm{2}}{\mathrm{8}{k}+\mathrm{4}}−\frac{\mathrm{1}}{\mathrm{8}{k}+\mathrm{5}}−\frac{\mathrm{1}}{\mathrm{8}{k}+\mathrm{6}}\right)\right\}=\pi \\ $$$$\:\:\:\:\:\:\:\:\:….{Bailey}−{Borwein}\:{formula}…. \\ $$$$\:\:\:…