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Question Number 105233 Answers: 0 Comments: 0

calculate ∫_0 ^∞ ((ch(cosx)−cos(chx))/(x^2 +3))dx

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{ch}\left(\mathrm{cosx}\right)−\mathrm{cos}\left(\mathrm{chx}\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}}\mathrm{dx} \\ $$

Question Number 105232 Answers: 1 Comments: 0

calculate ∫_0 ^∞ ((cos(2x^2 ))/((4x^2 +9)^3 ))dx

$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{cos}\left(\mathrm{2x}^{\mathrm{2}} \right)}{\left(\mathrm{4x}^{\mathrm{2}} \:+\mathrm{9}\right)^{\mathrm{3}} }\mathrm{dx} \\ $$

Question Number 105231 Answers: 1 Comments: 0

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

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

Question Number 105230 Answers: 2 Comments: 0

calculate ∫_1 ^(+∞) (dx/((x^2 +1)^2 (x^2 +4)^2 ))

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

Question Number 105243 Answers: 2 Comments: 0

{ ((sin 2x + sin 2y = (4/9))),((cos (x−y) = 1−sin (x+y))) :} 0 < x < (π/2) ; 0 < y < (π/2) find the value of sin (x+y) (a) −(2/3) (b) −(1/3) (c) (1/9) (d) (2/9) (e) (2/3)

$$\begin{cases}{\mathrm{sin}\:\mathrm{2}{x}\:+\:\mathrm{sin}\:\mathrm{2}{y}\:=\:\frac{\mathrm{4}}{\mathrm{9}}}\\{\mathrm{cos}\:\left({x}−{y}\right)\:=\:\mathrm{1}−\mathrm{sin}\:\left({x}+{y}\right)}\end{cases} \\ $$$$\mathrm{0}\:<\:{x}\:<\:\frac{\pi}{\mathrm{2}}\:;\:\mathrm{0}\:<\:{y}\:<\:\frac{\pi}{\mathrm{2}} \\ $$$${find}\:{the}\:{value}\:{of}\:\mathrm{sin}\:\left({x}+{y}\right) \\ $$$$\left({a}\right)\:−\frac{\mathrm{2}}{\mathrm{3}}\:\:\:\left({b}\right)\:−\frac{\mathrm{1}}{\mathrm{3}}\:\:\:\left({c}\right)\:\frac{\mathrm{1}}{\mathrm{9}} \\ $$$$\left({d}\right)\:\frac{\mathrm{2}}{\mathrm{9}}\:\:\:\:\left({e}\right)\:\frac{\mathrm{2}}{\mathrm{3}} \\ $$

Question Number 105242 Answers: 0 Comments: 0

Question Number 105222 Answers: 0 Comments: 0

Question Number 105735 Answers: 2 Comments: 1

What is the cubic polynomial for y(0)=1; y(1)=0 ; y(2)=1 and y(3)=10

$${What}\:{is}\:{the}\:{cubic}\:{polynomial}\:{for}\:{y}\left(\mathrm{0}\right)=\mathrm{1}; \\ $$$${y}\left(\mathrm{1}\right)=\mathrm{0}\:;\:{y}\left(\mathrm{2}\right)=\mathrm{1}\:{and}\:{y}\left(\mathrm{3}\right)=\mathrm{10}\: \\ $$

Question Number 105207 Answers: 1 Comments: 3

99−98((98)/(99)) = ? Can you solve this?

$$\mathrm{99}−\mathrm{98}\frac{\mathrm{98}}{\mathrm{99}}\:=\:? \\ $$$$\boldsymbol{{Can}}\:\boldsymbol{{you}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}? \\ $$

Question Number 105266 Answers: 9 Comments: 0

Question Number 105265 Answers: 3 Comments: 0

Question Number 105205 Answers: 1 Comments: 2

Question Number 105273 Answers: 1 Comments: 1

Question Number 105278 Answers: 1 Comments: 1

(1−(1/1))(1−(1/2))(1−(1/3)).....(1−(1/(100)))=?

$$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{1}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3}}\right).....\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{100}}\right)=? \\ $$

Question Number 105200 Answers: 0 Comments: 0

Question Number 105195 Answers: 2 Comments: 0

Question Number 105189 Answers: 0 Comments: 2

Question Number 105181 Answers: 1 Comments: 0

graph the function x^2 +(y−(x^2 )^(1/3) )^2 =1

$${graph}\:{the}\:{function}\:{x}^{\mathrm{2}} +\left({y}−\sqrt[{\mathrm{3}}]{{x}^{\mathrm{2}} }\right)^{\mathrm{2}} =\mathrm{1} \\ $$

Question Number 105235 Answers: 1 Comments: 0

(x−2)^(log _2 (x^2 −5x+5)) > (x−2)^(log _2 (x−3))

$$\left({x}−\mathrm{2}\right)^{\mathrm{log}\:_{\mathrm{2}} \left({x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{5}\right)} \:>\:\left({x}−\mathrm{2}\right)^{\mathrm{log}\:_{\mathrm{2}} \left({x}−\mathrm{3}\right)} \\ $$

Question Number 142176 Answers: 1 Comments: 0

∫ e^(ax) sin bx dx = ?

$$\int\:{e}^{{ax}} \:{sin}\:{bx}\:{dx}\:=\:? \\ $$

Question Number 105167 Answers: 1 Comments: 1

Question Number 105163 Answers: 2 Comments: 0

x^2 y′′+xy′−y=(1/(1+x^2 ))

$${x}^{\mathrm{2}} {y}''+{xy}'−{y}=\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$

Question Number 105158 Answers: 4 Comments: 0

{ ((xy+x+y = 20)),((x^2 +y^2 = 40)) :}find x and y

$$\begin{cases}{{xy}+{x}+{y}\:=\:\mathrm{20}}\\{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:=\:\mathrm{40}}\end{cases}{find}\:{x}\:{and}\:{y} \\ $$

Question Number 105157 Answers: 1 Comments: 0

lim_(x→(π/6)) ((cos^2 (((3x)/2))−sin x)/(sin x+(√3) cos x−2)) ?

$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{6}}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:^{\mathrm{2}} \left(\frac{\mathrm{3}{x}}{\mathrm{2}}\right)−\mathrm{sin}\:{x}}{\mathrm{sin}\:{x}+\sqrt{\mathrm{3}}\:\mathrm{cos}\:{x}−\mathrm{2}}\:? \\ $$

Question Number 105155 Answers: 1 Comments: 0

Question Number 105132 Answers: 12 Comments: 0

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