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Question Number 163902 Answers: 1 Comments: 0
$$\sqrt{\mathrm{x}!^{\boldsymbol{\mathrm{x}}!} }\:\:+\:\:\mathrm{2}^{\boldsymbol{\mathrm{x}}!} \:\:=\:\mathrm{x}!^{\mathrm{3}} \:\:+\:\:\mathrm{10x}!\:\:+\:\:\mathrm{4} \\ $$$$\mathrm{find}:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$
Question Number 163899 Answers: 2 Comments: 0
$$\mathrm{Find}:\:\:\boldsymbol{\Omega}\:=\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{cos}\left(\mathrm{ax}\right)}{\:\sqrt{\mathrm{x}}\:\centerdot\:\sqrt{\mathrm{1}\:-\:\mathrm{x}}}\:\mathrm{dx} \\ $$
Question Number 163897 Answers: 2 Comments: 0
$$\mathrm{if}\:\:\mathrm{x}^{\mathrm{3}} \:=\:\mathrm{1}\:\:\mathrm{and}\:\:\mathrm{x}\:\neq\:\mathrm{1} \\ $$$$\mathrm{simplificar}\:\:\left(\frac{\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }}{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{5}} }\right)^{\mathrm{3}} \\ $$
Question Number 163891 Answers: 2 Comments: 0
$$\mathrm{if}\:\:\:\mathrm{f}\left(\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{1}\right)\:=\:\mathrm{x}^{\mathrm{5}} \:+\:\mathrm{4x}\:+\:\mathrm{2} \\ $$$$\mathrm{find}\:\:\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=\:? \\ $$
Question Number 163888 Answers: 1 Comments: 1
$${prove}\int\frac{\mathrm{1}β{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}β{x}^{\mathrm{2}} }}{dx}\:=\:\int\sqrt{\mathrm{1}β{x}^{\mathrm{2}} }{dx} \\ $$
Question Number 163886 Answers: 1 Comments: 2
$${Evaluate}\:{the}\:{following}\:{by}\:{using}\: \\ $$$$\:{integration}\:{by}\:{parts}\:{formula}: \\ $$$$\int{xsin}^{β\mathrm{1}} \left({x}\right){dx} \\ $$
Question Number 163885 Answers: 0 Comments: 0
$${preuve} \\ $$$$\left.{a}\right){HH}^{β\mathrm{1}} ={H} \\ $$$$\left.{b}\right){HH}={H} \\ $$$$\left.{c}\right){H}^{β\mathrm{1}} ={H} \\ $$
Question Number 163881 Answers: 1 Comments: 0
$$\mathrm{16}^{\mathrm{1}β\mathrm{x}} \mathrm{32}^{\mathrm{2x}+\mathrm{1}} =\mathrm{128}^{\mathrm{2x}β\mathrm{1}} \:\:\:\:\mathrm{solve} \\ $$
Question Number 163865 Answers: 2 Comments: 0
Question Number 163861 Answers: 1 Comments: 0
Question Number 163860 Answers: 1 Comments: 0
Question Number 163856 Answers: 1 Comments: 0
Question Number 163858 Answers: 0 Comments: 2
$${which}\:{object}\:{or}\:{substance}\:{has}\:\:{the}\: \\ $$$$\mathrm{2}{rd}\:{number}\:{velocity}\:{after}\:{light}? \\ $$
Question Number 163854 Answers: 1 Comments: 0
$$\boldsymbol{\mathrm{solution}}\:\boldsymbol{\mathrm{with}}\:\boldsymbol{\mathrm{residu}}\:\boldsymbol{\mathrm{theorem}} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }{\boldsymbol{\mathrm{x}}^{\mathrm{4}} +\mathrm{2}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{2}}\boldsymbol{\mathrm{dx}}=?\:\:\:\: \\ $$
Question Number 163849 Answers: 1 Comments: 0
$$\frac{\mathrm{1}}{\mathrm{1}\:\centerdot\:\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{2}\:\centerdot\:\mathrm{3}}\:+\:...\:\frac{\mathrm{1}}{\mathrm{19}\:\centerdot\:\mathrm{20}}\:+\:\frac{\mathrm{1}}{\mathrm{20}\:\centerdot\:\mathrm{21}}\:=\:? \\ $$
Question Number 163843 Answers: 0 Comments: 0
Question Number 163844 Answers: 0 Comments: 0
Question Number 163842 Answers: 1 Comments: 0
$$ \\ $$$$\:\:\:\:\:\:\:{calculate} \\ $$$$\:\:\:\: \\ $$$$\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\frac{\:\:\mathscr{A}{rctanh}\:\left({x}\right)}{{x}^{\:} }\right)^{\:\mathrm{2}} \:{dx}\:=? \\ $$$$\:\:\:\:\:\:\:\:\:ββ\:{m}.{n}\:ββ \\ $$
Question Number 163836 Answers: 0 Comments: 0
$${par}\:{recurence} \\ $$$$\frac{\mathrm{4}^{{n}} }{\mathrm{2}{n}}<\left(_{{n}} ^{{k}} \right)<\frac{\mathrm{4}^{{n}} }{\mathrm{2}} \\ $$
Question Number 163838 Answers: 0 Comments: 0
Question Number 163833 Answers: 1 Comments: 12
Question Number 163829 Answers: 3 Comments: 1
$$\int\frac{\mathrm{1}}{\mathrm{cos}\:{x}} \\ $$
Question Number 163828 Answers: 2 Comments: 0
$$\int\frac{{e}^{{x}} }{{x}} \\ $$
Question Number 163825 Answers: 2 Comments: 0
$$\:\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\mathrm{2}{x}β\mathrm{2}{x}}{\mathrm{sin}\:\mathrm{3}{x}β\mathrm{3}{x}}\:=?\: \\ $$
Question Number 163834 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{\infty} \frac{\boldsymbol{{t}}\left(\boldsymbol{{e}}^{\mathrm{4}\boldsymbol{{t}}} β\mathrm{1}\right)\left(\boldsymbol{{ln}}\left(\boldsymbol{{i}}\right)+\boldsymbol{{t}}\right)}{\boldsymbol{{e}}^{\mathrm{2}\boldsymbol{{t}}} }\boldsymbol{{dt}}=? \\ $$$$\boldsymbol{{by}}\:\:\boldsymbol{{M}}.\boldsymbol{{A}} \\ $$
Question Number 163822 Answers: 2 Comments: 0
$${sin}\left(\mathrm{4}{x}\right)\:β\:{sin}\left(\mathrm{3}{x}\right)\:=\:{sin}\left(\mathrm{2}{x}\right)\:{find}\:{x}\:? \\ $$
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