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Question Number 151699 Answers: 2 Comments: 0
$$\:\:\:\:\underset{{x}^{\mathrm{3}} +\mathrm{2022}{x}−\mathrm{2021}=\mathrm{0}} {\sum}\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right)\:=? \\ $$
Question Number 151761 Answers: 1 Comments: 0
$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{1}}{\:\sqrt{{e}^{{x}} +\mathrm{1}}}\:{dx}\: \\ $$$$\: \\ $$
Question Number 151685 Answers: 1 Comments: 0
$$\:\:{Find}\:{maximum}\:{value}\:{of}\:{function} \\ $$$$\:\:\alpha\left({x}\right)=\:\sqrt{\mathrm{2}{x}}\:+\sqrt{\mathrm{16}−{x}}\:+\sqrt{\mathrm{35}+{x}}\:. \\ $$
Question Number 151677 Answers: 1 Comments: 0
Question Number 151673 Answers: 1 Comments: 0
Question Number 151665 Answers: 2 Comments: 0
$$\mathrm{prove}\:\mathrm{4arccot5}−\mathrm{arccot239}=\frac{\pi}{\mathrm{4}} \\ $$
Question Number 151721 Answers: 0 Comments: 1
Question Number 151660 Answers: 1 Comments: 0
Question Number 151652 Answers: 1 Comments: 0
$${faire}\:{la}\:{division}\:{de}\:\left(\mathrm{1}−{x}^{{n}} \right)\:{par}\:\left(\mathrm{1}−{x}\right) \\ $$
Question Number 151641 Answers: 1 Comments: 0
Question Number 151638 Answers: 1 Comments: 0
$$\underset{\:\mathrm{0}} {\overset{\:\mathrm{2}\boldsymbol{\pi}} {\int}}\left(\mathrm{1}\:-\:\mathrm{cos}\boldsymbol{\mathrm{x}}\right)^{\mathrm{10}} \:\mathrm{cos}\left(\mathrm{10x}\right)\:\mathrm{dx}\:=\:? \\ $$
Question Number 151622 Answers: 1 Comments: 0
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{inequality}\:\mathrm{with}\:\mathrm{integer}\: \\ $$$$\mathrm{coefficient}\:\mathrm{for}\:\mathrm{the}\:\mathrm{given}\:\mathrm{solution}\:\mathrm{set} \\ $$$$\mathrm{x}:\mathrm{x}\:<\:\frac{−\mathrm{2}}{\mathrm{5}}\:\mathrm{or}\:>\frac{\mathrm{2}}{\mathrm{5}} \\ $$
Question Number 151616 Answers: 0 Comments: 4
$$\mathrm{let}\:\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\boldsymbol{\lambda}+\mathrm{x}}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\:\:\mathrm{and}\:\:\boldsymbol{\lambda}\geqslant\frac{-\mathrm{3}}{\mathrm{4}} \\ $$$$\mathrm{solve}\:\mathrm{in}\:\mathbb{R}\:\:\:\mathrm{f}\left(\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\right)\:\leqslant\:\mathrm{0} \\ $$
Question Number 151615 Answers: 1 Comments: 0
$$\mathrm{How}\:\mathrm{many}\:\mathrm{numbers}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{200}\:\mathrm{can} \\ $$$$\mathrm{be}\:\mathrm{formed}\:\mathrm{from}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5}\:\mathrm{if}\:\mathrm{no} \\ $$$$\mathrm{digit}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{repeated}\:\mathrm{in}\:\mathrm{any}\:\mathrm{particular} \\ $$$$\mathrm{number}? \\ $$$$ \\ $$
Question Number 151614 Answers: 1 Comments: 0
$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{2}\boldsymbol{\pi}} {\int}}\frac{\mathrm{x}\:+\:\mathrm{tan}\left(\mathrm{sin}\boldsymbol{\mathrm{x}}\right)}{\boldsymbol{\lambda}\:+\:\mathrm{cos}\left(\boldsymbol{\mathrm{x}}\right)}\:\mathrm{dx}\:\:;\:\:\boldsymbol{\lambda}>\mathrm{1} \\ $$
Question Number 151612 Answers: 0 Comments: 0
$$\int_{\mathrm{0}} ^{{e}} \frac{{x}}{\:\sqrt{{x}−{ln}\left({x}\right)}}{dx} \\ $$
Question Number 151609 Answers: 1 Comments: 0
Question Number 151602 Answers: 6 Comments: 0
Question Number 151599 Answers: 1 Comments: 0
$$\Omega\:=\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\mathrm{cos}\left(\mathrm{x}^{\boldsymbol{\mathrm{n}}} \right)\:\mathrm{dx}\:=\:? \\ $$
Question Number 151596 Answers: 1 Comments: 0
Question Number 151587 Answers: 1 Comments: 0
$$\int\mathrm{sin}^{−\mathrm{1}} \sqrt{\frac{\mathrm{x}}{\mathrm{a}+\mathrm{x}}}\:\mathrm{dx} \\ $$
Question Number 151586 Answers: 0 Comments: 0
$$\int\mathrm{e}^{\mathrm{tan}^{−\mathrm{1}} \mathrm{x}} \left(\frac{\mathrm{1}+\mathrm{x}+\mathrm{x}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\right)\mathrm{dx} \\ $$
Question Number 151585 Answers: 0 Comments: 0
$$\int\frac{\mathrm{dx}}{\mathrm{x}\sqrt{\mathrm{a}^{\mathrm{n}} +\mathrm{x}^{\mathrm{n}} }} \\ $$
Question Number 151630 Answers: 2 Comments: 0
Question Number 151573 Answers: 1 Comments: 0
Question Number 151568 Answers: 4 Comments: 0
$$\int\:\sqrt{{sec}\left({x}\right)+{tan}\left({x}\right)}\:{dx} \\ $$$$ \\ $$$${how}\:{can}\:{it}\:{solve} \\ $$
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