Question Number 134232 by liberty last updated on 01/Mar/21 $$ \\ $$In how many ways can 5 men, 4 women, and 3 children be arranged…
Question Number 68699 by Rio Michael last updated on 15/Sep/19 $$\int\:{ln}\left({x}\:+\:\mathrm{4}\right)\:{dx}\:= \\ $$ Commented by mathmax by abdo last updated on 15/Sep/19 $${let}\:{I}\:=\int{ln}\left({x}+\mathrm{4}\right){dx}\:\:{changement}\:{x}+\mathrm{4}={t}\:{give} \\ $$$${I}\:=\int{lnt}\:{dt}\:={tln}\left({t}\right)−{t}\:+{c}\:=\left({x}+\mathrm{4}\right){ln}\left({x}+\mathrm{4}\right)−{x}−\mathrm{4}\:+{c}…
Question Number 134235 by mohammad17 last updated on 01/Mar/21 Commented by mohammad17 last updated on 01/Mar/21 $${help}\:{me}\:{sir} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 3160 by prakash jain last updated on 06/Dec/15 $$\mathrm{Prove}\:\mathrm{that}\:{e}=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}!}\:\:\mathrm{is}\:\mathrm{irrational}. \\ $$ Answered by Yozzi last updated on 06/Dec/15 $${Fourier}'{s}\:{Proof} \\ $$$${Suppose}\:{for}\:{contradiction}\:{that}…
Question Number 134229 by mohammad17 last updated on 01/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68695 by fermat last updated on 15/Sep/19 $${pour}\:\mathrm{1}<{k}<{n}\:\:\:\:\:{montrer}\:{que} \\ $$$${k}\left({n}+\mathrm{1}−{k}\right)<\left({n}+\mathrm{1}/\mathrm{2}\right)^{\mathrm{2}} \\ $$ Answered by mind is power last updated on 15/Sep/19 $${n}+\mathrm{1}−{k}<{n}+\frac{\mathrm{1}}{\mathrm{2}} \\…
Question Number 68693 by Maclaurin Stickker last updated on 15/Sep/19 Commented by turbo msup by abdo last updated on 15/Sep/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \left(\frac{\mathrm{1}}{\:\sqrt{{k}}}−\frac{\mathrm{1}}{\:\sqrt{{k}+\mathrm{1}}}\right)\:\Rightarrow \\…
Question Number 3156 by prakash jain last updated on 06/Dec/15 $$\Gamma\left(−\mathrm{2}{n}\right)\zeta\left(−\mathrm{2}{n}\right)=? \\ $$$${n}\in\mathbb{Z}^{+} \\ $$ Commented by prakash jain last updated on 06/Dec/15 $$\mathrm{Wolfram}\:\mathrm{alpha} \\…
Question Number 134227 by Raxreedoroid last updated on 01/Mar/21 $$\mathrm{I}\:\:\mathrm{struck}\:\mathrm{upon}\:\mathrm{this} \\ $$$$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{16}^{{n}} =\frac{−\mathrm{1}}{\mathrm{15}} \\ $$$$\int_{\mathrm{0}} ^{\:\pi} \mathrm{cos}^{\mathrm{4}} \:{x}\:\mathrm{sin}\:{x}\:{dx}=\frac{−\mathrm{1}}{\mathrm{5}}\left[\mathrm{cos}^{\mathrm{5}} \:{x}\right]_{\mathrm{0}} ^{\pi} =\mathrm{0}.\mathrm{4} \\ $$$$\mathrm{in}\:\mathrm{another}\:\mathrm{way}…
Question Number 3148 by Filup last updated on 06/Dec/15 $${Solve}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{t}^{{k}} }{{k}^{{t}} }\:{for}\:{n}=\mathrm{10},\:{t}=\mathrm{2} \\ $$ Commented by prakash jain last updated on 06/Dec/15 $$\frac{\mathrm{2}^{\mathrm{1}}…