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AllQuestion and Answers: Page 26

Question Number 222753    Answers: 3   Comments: 0

Question Number 222747    Answers: 1   Comments: 1

Question Number 222744    Answers: 0   Comments: 0

Question Number 222743    Answers: 1   Comments: 0

Compare: a = arcctg (√2) b = arccos ((√2)/2) c = arctg (√2)

$$\mathrm{Compare}: \\ $$$$\boldsymbol{\mathrm{a}}\:=\:\mathrm{arcctg}\:\sqrt{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{b}}\:=\:\mathrm{arccos}\:\frac{\sqrt{\mathrm{2}}}{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{c}}\:=\:\mathrm{arctg}\:\sqrt{\mathrm{2}} \\ $$

Question Number 222733    Answers: 0   Comments: 0

Question Number 222730    Answers: 2   Comments: 1

Question Number 222736    Answers: 1   Comments: 0

Question Number 222718    Answers: 2   Comments: 3

Question Number 222711    Answers: 1   Comments: 0

Question Number 222705    Answers: 2   Comments: 0

∫_0 ^1 ((lnxarctanx)/x)dx

$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}{x}\mathrm{arctan}{x}}{{x}}{dx} \\ $$

Question Number 222703    Answers: 1   Comments: 1

Question Number 222697    Answers: 1   Comments: 0

Question Number 222685    Answers: 2   Comments: 0

Question Number 222684    Answers: 1   Comments: 1

Question Number 222679    Answers: 2   Comments: 0

If x=Π_(x=1) ^(10) x then (1/(log _2 x))+(1/(log _3 x))+(1/(log _4 x))...+(1/(log _(10) x))=??

$${If}\:{x}=\underset{{x}=\mathrm{1}} {\overset{\mathrm{10}} {\prod}}{x}\:{then}\:\frac{\mathrm{1}}{\mathrm{log}\:_{\mathrm{2}} {x}}+\frac{\mathrm{1}}{\mathrm{log}\:_{\mathrm{3}} {x}}+\frac{\mathrm{1}}{\mathrm{log}\:_{\mathrm{4}} {x}}...+\frac{\mathrm{1}}{\mathrm{log}\:_{\mathrm{10}} {x}}=?? \\ $$

Question Number 222673    Answers: 1   Comments: 1

Question Number 222662    Answers: 1   Comments: 4

Question Number 222652    Answers: 0   Comments: 1

Question Number 222646    Answers: 2   Comments: 0

Question Number 222639    Answers: 2   Comments: 0

Question Number 222638    Answers: 1   Comments: 0

Question Number 222636    Answers: 3   Comments: 0

Question Number 222635    Answers: 1   Comments: 0

Question Number 222622    Answers: 0   Comments: 0

Question Number 222619    Answers: 2   Comments: 0

Question Number 222614    Answers: 0   Comments: 0

complicated solution of the integral ; ∫ tan(((cos x)/x))^(13) dx

$$ \\ $$$$\:\:\mathrm{complicated}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral}\:; \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\:\mathrm{tan}\left(\frac{\mathrm{cos}\:{x}}{{x}}\right)^{\mathrm{13}} \:\mathrm{d}{x} \\ $$$$ \\ $$

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