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Question Number 141908 Answers: 0 Comments: 0

Q137984

$${Q}\mathrm{137984} \\ $$$$ \\ $$

Question Number 141907 Answers: 0 Comments: 0

Q140000

$${Q}\mathrm{140000} \\ $$

Question Number 141905 Answers: 0 Comments: 0

Q137503

$${Q}\mathrm{137503} \\ $$

Question Number 141901 Answers: 0 Comments: 1

Question Number 141900 Answers: 2 Comments: 0

L = lim_(x→0) ((e^x cos x−x−1)/x^3 ) =?

$$\:\mathcal{L}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{e}^{{x}} \:\mathrm{cos}\:{x}−{x}−\mathrm{1}}{{x}^{\mathrm{3}} }\:=? \\ $$

Question Number 141890 Answers: 0 Comments: 1

Question Number 141885 Answers: 3 Comments: 0

easy question: if lim_(x→0) ((1−cos(1−cos(1−cos(x))))/x^8 ) =2^( a) then a=??

$$\:\:\: \\ $$$$\:\:\:\:\:\:{easy}\:\:{question}: \\ $$$$\:\:\:\:{if}\:\:\:{lim}_{{x}\rightarrow\mathrm{0}} \frac{\mathrm{1}−{cos}\left(\mathrm{1}−{cos}\left(\mathrm{1}−{cos}\left({x}\right)\right)\right)}{{x}^{\mathrm{8}} }\:=\mathrm{2}^{\:{a}} \\ $$$$\:\:\:\:\:\:\:\:{then}\:\:\:{a}=??\:\: \\ $$

Question Number 141884 Answers: 0 Comments: 0

Question Number 141868 Answers: 1 Comments: 1

......Advanced .....Calculus........ ..... ∫_( R) ^ (e^(−x^2 ) /((1+x^2 )^2 )) dx=?

$$\:\:\:\:\:\:\:\:\:\:\:\:......\mathscr{A}{dvanced}\:\:.....\mathscr{C}{alculus}........ \\ $$$$\:\:\:\:\:\:\:\:\:.....\:\:\int_{\:\mathbb{R}} ^{\:} \frac{{e}^{−{x}^{\mathrm{2}} } }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:{dx}=? \\ $$$$\:\:\:\:\: \\ $$

Question Number 141859 Answers: 2 Comments: 1

∫_0 ^∞ ((4e^(−x^2 ) )/((2x^2 +1)^2 )) dx

$$\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{4}{e}^{−{x}^{\mathrm{2}} } }{\left(\mathrm{2}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }\:{dx}\: \\ $$

Question Number 141858 Answers: 1 Comments: 1

Question Number 141872 Answers: 1 Comments: 2

Question Number 141849 Answers: 1 Comments: 0

y′′−6y′+9y = 9x^2 e^(3x) cos (3x)

$$\:\:\:\:\:{y}''−\mathrm{6}{y}'+\mathrm{9}{y}\:=\:\mathrm{9}{x}^{\mathrm{2}} \:{e}^{\mathrm{3}{x}} \:\mathrm{cos}\:\left(\mathrm{3}{x}\right)\:\: \\ $$

Question Number 141848 Answers: 4 Comments: 0

I = ∫ (1/( (√(1−x^2 ))−1)) dx

$$\:\mathscr{I}\:=\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\mathrm{1}}\:{dx}\: \\ $$

Question Number 141847 Answers: 2 Comments: 0

I = ∫ ((sec x)/(1+csc x)) dx

$$\:\mathcal{I}\:=\:\int\:\frac{\mathrm{sec}\:{x}}{\mathrm{1}+\mathrm{csc}\:{x}}\:{dx}\: \\ $$

Question Number 141846 Answers: 1 Comments: 0

Σ_(k≥0) (C_n ^k )^2

$$\sum_{{k}\geqslant\mathrm{0}} \left({C}_{{n}} ^{{k}} \right)^{\mathrm{2}} \\ $$

Question Number 142174 Answers: 0 Comments: 6

Question Number 141840 Answers: 0 Comments: 0

sin^2 (360−x)−((cos(x−180)∙tan(−x)∙sin(90−x)∙cos(360−x))/(sin(180−x)))=?

$${sin}^{\mathrm{2}} \left(\mathrm{360}−{x}\right)−\frac{{cos}\left({x}−\mathrm{180}\right)\centerdot{tan}\left(−{x}\right)\centerdot{sin}\left(\mathrm{90}−{x}\right)\centerdot{cos}\left(\mathrm{360}−{x}\right)}{{sin}\left(\mathrm{180}−{x}\right)}=? \\ $$

Question Number 142255 Answers: 1 Comments: 0

find the value of ∫_0 ^1 (√(x^4 −5x^2 +4)) dx? solution please.

$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{x}^{\mathrm{4}} −\mathrm{5x}^{\mathrm{2}} +\mathrm{4}}\:\mathrm{dx}? \\ $$$$\mathrm{solution}\:\mathrm{please}. \\ $$

Question Number 142256 Answers: 1 Comments: 0

∫_0 ^∞ ((sinx)/x^(1−a) )dx

$$\int_{\mathrm{0}} ^{\infty} \frac{{sinx}}{{x}^{\mathrm{1}−{a}} }{dx} \\ $$

Question Number 141826 Answers: 0 Comments: 0

If y=sin^2 θ, x=cotθ, find (dy/dx). Any suggestion please.

$${If}\:\:{y}={sin}^{\mathrm{2}} \theta,\:{x}={cot}\theta,\:{find}\:\:\frac{{dy}}{{dx}}. \\ $$$${Any}\:{suggestion}\:{please}. \\ $$

Question Number 141825 Answers: 0 Comments: 0

If P=(3x^2 −1)^3 , when x=2, it is decreased by 3%. Find the approximate percentage change in P. Help me out pls

Question Number 141822 Answers: 0 Comments: 2

Question Number 142253 Answers: 1 Comments: 0

Question Number 142252 Answers: 1 Comments: 0

Question Number 141814 Answers: 1 Comments: 2

please help me finding the roots of x^5 +5x^4 +20x^3 +60x^2 +120x+120=0?

$${please}\:{help}\:{me}\:{finding}\:{the}\:{roots}\:{of}\:\: \\ $$$${x}^{\mathrm{5}} +\mathrm{5}{x}^{\mathrm{4}} +\mathrm{20}{x}^{\mathrm{3}} +\mathrm{60}{x}^{\mathrm{2}} +\mathrm{120}{x}+\mathrm{120}=\mathrm{0}? \\ $$

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