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AllQuestion and Answers: Page 1568

Question Number 52938    Answers: 0   Comments: 3

Question Number 52936    Answers: 0   Comments: 1

Question Number 52946    Answers: 1   Comments: 1

∫_( 0) ^(π/2) log sin 2x dx =

$$\underset{\:\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\:\:\mathrm{log}\:\mathrm{sin}\:\mathrm{2}{x}\:{dx}\:= \\ $$

Question Number 52945    Answers: 3   Comments: 2

Question Number 52911    Answers: 2   Comments: 2

Question Number 52898    Answers: 1   Comments: 0

∫arcsin x arccos x dx=?

$$\int\mathrm{arcsin}\:{x}\:\mathrm{arccos}\:{x}\:{dx}=? \\ $$

Question Number 52900    Answers: 3   Comments: 0

∫_0 ^(π/2) sin x (√(sin 2x)) dx=? ∫_(−(π/4)) ^(π/4) cos x (√(cos 2x)) dx=?

$$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\mathrm{sin}\:{x}\:\sqrt{\mathrm{sin}\:\mathrm{2}{x}}\:{dx}=? \\ $$$$\underset{−\frac{\pi}{\mathrm{4}}} {\overset{\frac{\pi}{\mathrm{4}}} {\int}}\mathrm{cos}\:{x}\:\sqrt{\mathrm{cos}\:\mathrm{2}{x}}\:{dx}=? \\ $$

Question Number 52867    Answers: 1   Comments: 0

Question Number 52859    Answers: 0   Comments: 3

Question Number 52847    Answers: 0   Comments: 2

Question Number 52846    Answers: 1   Comments: 0

Question Number 52845    Answers: 1   Comments: 0

Question Number 52841    Answers: 1   Comments: 4

Question Number 52881    Answers: 1   Comments: 9

Question Number 52825    Answers: 1   Comments: 4

Question Number 52820    Answers: 1   Comments: 0

y = log{(√x) +(1/((√x) ))}^2 show that x(x+1)^2 y_2 + (x+1)^2 y_1 = 2

$${y}\:=\:{log}\left\{\sqrt{{x}}\:+\frac{\mathrm{1}}{\sqrt{{x}}\:\:\:}\right\}^{\mathrm{2}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$${show}\:{that} \\ $$$${x}\left({x}+\mathrm{1}\right)^{\mathrm{2}} {y}_{\mathrm{2}} \:+\:\left({x}+\mathrm{1}\right)^{\mathrm{2}} {y}_{\mathrm{1}} \:=\:\mathrm{2} \\ $$

Question Number 52818    Answers: 1   Comments: 0

Question Number 52814    Answers: 0   Comments: 6

Question Number 52808    Answers: 0   Comments: 0

Question Number 52806    Answers: 1   Comments: 2

Question Number 52802    Answers: 0   Comments: 0

Question Number 52795    Answers: 2   Comments: 0

Question Number 52790    Answers: 1   Comments: 0

Question Number 52787    Answers: 2   Comments: 0

Question Number 52786    Answers: 1   Comments: 1

Question Number 52780    Answers: 1   Comments: 1

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