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Question Number 206795 Answers: 0 Comments: 3

Question Number 206794 Answers: 1 Comments: 0

help me... ∫_0 ^∞ ((sin(t)ln(t))/t)e^(−t) dt

$${help}\:{me}... \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{sin}\left({t}\right)\mathrm{ln}\left({t}\right)}{{t}}{e}^{−{t}} \:{dt} \\ $$

Question Number 206787 Answers: 0 Comments: 1

Question Number 206789 Answers: 1 Comments: 0

Question Number 206788 Answers: 1 Comments: 0

Question Number 206783 Answers: 1 Comments: 1

Question Number 206781 Answers: 0 Comments: 0

Question Number 206779 Answers: 2 Comments: 0

Question Number 206773 Answers: 0 Comments: 3

∫_0 ^∞ (e^(−x^2 ) /((x^2 +(1/2))^2 ))dx= I^2 =∫∫_( D) (e^(−x^2 −y^2 ) /((x^2 +(1/2))^2 (y^2 +(1/2))^2 ))dA x=rcos(θ) y=rsin(θ) J=∣((∂(x,y))/(∂(r,θ)))∣drdθ=rdrdθ ∫∫_( D) ((re^(−r^2 ) )/((r^2 cos^2 (θ)+(1/2))^2 (r^2 sin^2 (θ)+(1/2))^2 ))drdθ

$$\int_{\mathrm{0}} ^{\infty} \:\frac{{e}^{−{x}^{\mathrm{2}} } }{\left({x}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} }{dx}= \\ $$$${I}^{\mathrm{2}} =\int\int_{\:\boldsymbol{\mathcal{D}}} \:\frac{{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} } }{\left({x}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} \left({y}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} }{dA} \\ $$$${x}={r}\mathrm{cos}\left(\theta\right)\:\:{y}={r}\mathrm{sin}\left(\theta\right) \\ $$$${J}=\mid\frac{\partial\left({x},{y}\right)}{\partial\left({r},\theta\right)}\mid{drd}\theta={rdrd}\theta \\ $$$$\int\int_{\:\boldsymbol{\mathcal{D}}} \:\frac{{re}^{−{r}^{\mathrm{2}} } }{\left({r}^{\mathrm{2}} \mathrm{cos}^{\mathrm{2}} \left(\theta\right)+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} \left({r}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \left(\theta\right)+\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}} }{drd}\theta \\ $$

Question Number 206764 Answers: 3 Comments: 0

Question Number 206754 Answers: 1 Comments: 0

find ∫_0 ^1 (√(1−(√x)))ln^2 (x)dx

$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}−\sqrt{{x}}}{ln}^{\mathrm{2}} \left({x}\right){dx} \\ $$

Question Number 206750 Answers: 1 Comments: 0

Question Number 206746 Answers: 2 Comments: 0

Question Number 206737 Answers: 2 Comments: 4

Question Number 206730 Answers: 1 Comments: 1

find lim_(n→+∞) ∫_0 ^n e^(nx) arctan((x/n))dx

$${find}\:{lim}_{{n}\rightarrow+\infty} \int_{\mathrm{0}} ^{{n}} {e}^{{nx}} \:{arctan}\left(\frac{{x}}{{n}}\right){dx} \\ $$

Question Number 206729 Answers: 1 Comments: 0

Question Number 206727 Answers: 0 Comments: 0

Question Number 206721 Answers: 4 Comments: 0

∫((xdx)/(x+4))=? please

$$\int\frac{{xdx}}{{x}+\mathrm{4}}=?\:\:\:\:\:\:\:{please} \\ $$

Question Number 206709 Answers: 3 Comments: 4

Find the missing number determinant ((( 72),(24),( 6)),(( 96),(16),(12)),((108),( ?),(18))) A.12 B.16 C.18 D.20 Please help...

$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{missing}\:\mathrm{number} \\ $$$$\:\:\:\:\:\:\:\:\:\:\begin{array}{|c|c|c|}{\:\mathrm{72}}&\hline{\mathrm{24}}&\hline{\:\:\mathrm{6}}\\{\:\mathrm{96}}&\hline{\mathrm{16}}&\hline{\mathrm{12}}\\{\mathrm{108}}&\hline{\:?}&\hline{\mathrm{18}}\\\hline\end{array} \\ $$$$\mathrm{A}.\mathrm{12}\:\:\:\:\:\:\mathrm{B}.\mathrm{16}\:\:\:\:\mathrm{C}.\mathrm{18}\:\:\:\:\:\:\mathrm{D}.\mathrm{20} \\ $$$$\mathrm{Please}\:\mathrm{help}... \\ $$

Question Number 206704 Answers: 2 Comments: 1

Question Number 206702 Answers: 2 Comments: 0

lim_(n→∞) (√(cosn+sinn−3^n +4^n ))

$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\sqrt{\mathrm{cos}{n}+\mathrm{sin}{n}−\mathrm{3}^{{n}} +\mathrm{4}^{{n}} } \\ $$

Question Number 206695 Answers: 1 Comments: 0

If (2)^(1/(10)) (cos 9° + i sin 9°) Find: z^5 = ?

$$\mathrm{If}\:\:\:\sqrt[{\mathrm{10}}]{\mathrm{2}}\:\left(\mathrm{cos}\:\mathrm{9}°\:+\:\boldsymbol{\mathrm{i}}\:\mathrm{sin}\:\mathrm{9}°\right) \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{z}}^{\mathrm{5}} \:=\:? \\ $$

Question Number 206681 Answers: 3 Comments: 6

$$\:\:\:\cancel{{s}} \\ $$$$ \\ $$

Question Number 206679 Answers: 1 Comments: 0

if f(x)+2g(1−x)=x^2 and f(1−x)−g(x)=x^2 then f(x)=?

$${if}\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)+\mathrm{2}{g}\left(\mathrm{1}−{x}\right)={x}^{\mathrm{2}} \\ $$$${and}\:\:\:\:\:\:\:\:{f}\left(\mathrm{1}−{x}\right)−{g}\left({x}\right)={x}^{\mathrm{2}} \\ $$$${then}\:\:\:\:\:\:\:{f}\left({x}\right)=? \\ $$

Question Number 206677 Answers: 2 Comments: 0

Question Number 206675 Answers: 1 Comments: 0

There are three positive integers a, b, and c such that their average is 35 and a ≤ b ≤ c. If the median is (a + 18), then find the minimum possible value of c. (1) 41. (2) 42. (3) 39. (4) 40

$$ \\ $$There are three positive integers a, b, and c such that their average is 35 and a ≤ b ≤ c. If the median is (a + 18), then find the minimum possible value of c. (1) 41. (2) 42. (3) 39. (4) 40

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