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some-thoughts-on-this-forum-we-cannot-solve-the-unanswered-questions-much-greater-mathematicians-haven-t-been-able-to-solve-yet-thus-it-makes-absolutely-no-sense-to-post-them-here-also-it-makes-no-

Question Number 77208 by MJS last updated on 04/Jan/20 $$\mathrm{some}\:\mathrm{thoughts}\:\mathrm{on}\:\mathrm{this}\:\mathrm{forum}… \\ $$$$\mathrm{we}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{unanswered}\:\mathrm{questions} \\ $$$$\mathrm{much}\:\mathrm{greater}\:\mathrm{mathematicians}\:\mathrm{haven}'\mathrm{t}\:\mathrm{been} \\ $$$$\mathrm{able}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{yet} \\ $$$$\mathrm{thus}\:\mathrm{it}\:\mathrm{makes}\:\mathrm{absolutely}\:\mathrm{no}\:\mathrm{sense}\:\mathrm{to}\:\mathrm{post} \\ $$$$\mathrm{them}\:\mathrm{here} \\ $$$$\mathrm{also}\:\mathrm{it}\:\mathrm{makes}\:\mathrm{no}\:\mathrm{sense}\:\mathrm{to}\:\mathrm{post}\:\mathrm{problems}\:\mathrm{from} \\ $$$$\mathrm{books}\:\mathrm{or}\:\mathrm{from}\:\mathrm{the}\:\mathrm{www}\:\mathrm{if}\:\mathrm{you}\:\mathrm{don}'\mathrm{t}\:\mathrm{have}\:\mathrm{the} \\…

x-x-30-2-1-2-

Question Number 142730 by Gbenga last updated on 04/Jun/21 $${x}^{{x}^{\mathrm{30}} } =\sqrt{}\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Commented by mr W last updated on 04/Jun/21 $${x}=\sqrt[{\mathrm{30}}]{\frac{\mathrm{15ln}\:\mathrm{2}}{\mathrm{2}{W}\left(\frac{\mathrm{15ln}\:\mathrm{2}}{\mathrm{2}}\right)}}\approx\mathrm{1}.\mathrm{045993524} \\ $$…

0-pi-2-sin-2t-1-xsin-2t-dt-

Question Number 142724 by lapache last updated on 04/Jun/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{sin}\left(\mathrm{2}{t}\right)}{\mathrm{1}+{xsin}\left(\mathrm{2}{t}\right)}{dt}=…. \\ $$ Answered by Ar Brandon last updated on 04/Jun/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin2t}}{\mathrm{1}+\mathrm{xsin2t}}\mathrm{dt}=\frac{\mathrm{1}}{\mathrm{x}}\int_{\mathrm{0}}…

0-1-log-x-log-x-1-x-x-1-x-dx-Any-help-

Question Number 142690 by Rankut last updated on 04/Jun/21 $$\int_{\mathrm{0}\:} ^{\mathrm{1}} \frac{\boldsymbol{{log}}\left(\boldsymbol{{x}}\right)\boldsymbol{{log}}\left(\frac{\boldsymbol{{x}}}{\mathrm{1}−\boldsymbol{{x}}}\right)}{\:\sqrt{\frac{\boldsymbol{{x}}}{\mathrm{1}−\boldsymbol{{x}}}}}\boldsymbol{{dx}} \\ $$$$\boldsymbol{\mathrm{Any}}\:\boldsymbol{\mathrm{help}}\: \\ $$$$ \\ $$ Answered by Dwaipayan Shikari last updated on…

how-to-get-exert-value-of-a-lambert-w-function-question-without-wolfram-alpha-

Question Number 142679 by Gbenga last updated on 03/Jun/21 $${how}\:{to}\:{get}\:{exert}\:{value}\:{of}\:{a}\:{lambert}\:{w}\:{function}\:{question}\:{without}\:{wolfram}\:{alpha} \\ $$ Commented by Dwaipayan Shikari last updated on 03/Jun/21 $${W}\left({x}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−{n}\right)^{{n}−\mathrm{1}} }{{n}!}{x}^{{n}} \\…