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Question Number 138980 Answers: 1 Comments: 0

(√((7x+2)/(x+2)))−((12)/(7(7x+2)))=((53)/(28)) find x

$\sqrt{\frac{7 x + 2}{x + 2}} - \frac{12}{7 (7 x + 2)} = \frac{53}{28}$ $f i n d x$

Question Number 138979 Answers: 1 Comments: 0

Question Number 138973 Answers: 1 Comments: 0

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

$calculate \int_{0}^{\infty} \frac{dx}{x^{4} - x^{2} + 2}$

Question Number 138972 Answers: 0 Comments: 0

calculate ∫_(−∞) ^(+∞) ((cos^2 (x))/((x^2 −x+2)^2 ))dx

$calculate \int_{- \infty}^{+ \infty} \frac{\cos^{2} (x)}{{(x^{2} - x + 2)}^{2}} dx$

Question Number 138971 Answers: 0 Comments: 0

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

$calculate \int_{0}^{\infty} \frac{\arctan (x^{2} - 1)}{x^{2} + 4} dx$

Question Number 138970 Answers: 2 Comments: 0

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

$calculate \int_{- \infty}^{\infty} \frac{xsin (2 x)}{{(x^{2} + x + 1)}^{2}} dx$

Question Number 138967 Answers: 1 Comments: 0

Θ=∫_0 ^( ∞) ((sin(x).log^2 (x))/x)dx=(π/(24))(12 γ^( 2) +π^2 )....✓

$Θ = \int_{0}^{\infty} \frac{s i n (x) . {l o g}^{2} (x)}{x} d x = \frac{π}{24} (12 γ^{2} + π^{2}) . . . . ✓$

Question Number 138960 Answers: 0 Comments: 4

X and Y stand in a line, at random with 10 other peoples. What is the probability that there will be exactly 4 persons between X and Y?

$X a n d Y s t a n d i n a l i n e, a t r a n d o m w i t h 10 o t h e r p e o p l e s .$ $W h a t i s t h e p r o b a b i l i t y t h a t t h e r e w i l l b e e x a c t l y 4 p e r s o n s$ $b e t w e e n X a n d Y ?$

Question Number 138959 Answers: 2 Comments: 0

Question Number 138984 Answers: 2 Comments: 0

((36)/( (√(x−2)))) +(4/( (√(y−1)))) +4(√(x−2)) +(√(y−1)) = 28 find x & y

$\frac{36}{\sqrt{x - 2}} + \frac{4}{\sqrt{y - 1}} + 4 \sqrt{x - 2} + \sqrt{y - 1} = 28$ $find x & y$

Question Number 138976 Answers: 1 Comments: 0

Question Number 138948 Answers: 0 Comments: 2

Question Number 138947 Answers: 0 Comments: 2

Question Number 138940 Answers: 0 Comments: 0

... mathematics.. prove that: 𝛗=∫_0 ^( ∞) ((arctan(x).ln(1+x^2 ))/(1+x^2 ))dx =((π^2 ln(2))/4)+(7/8) ζ(3)

$. . . m a t h e m a t i c s . .$ $p r o v e t h a t :$ $ϕ = \int_{0}^{\infty} \frac{a r c t a n (x) . l n (1 + x^{2})}{1 + x^{2}} d x$ $= \frac{π^{2} l n (2)}{4} + \frac{7}{8} ζ (3)$

Question Number 138933 Answers: 0 Comments: 0

Question Number 138932 Answers: 0 Comments: 0

Question Number 138931 Answers: 0 Comments: 0

Question Number 138929 Answers: 0 Comments: 0

Question Number 138927 Answers: 0 Comments: 0

Question Number 138916 Answers: 2 Comments: 0

∫_( 1) ^( 4) (√(((√z)−1)/( (√z)))) dz =?

$\underset{1}{\int^{4}} \sqrt{\frac{\sqrt{z} - 1}{\sqrt{z}}} d z = ?$

Question Number 138899 Answers: 1 Comments: 0

∫cos(ln(sinx))dx

$\int c o s (l n (s i n x)) d x$

Question Number 138897 Answers: 0 Comments: 1

Question Number 138896 Answers: 1 Comments: 0

Question Number 138889 Answers: 0 Comments: 1

Question Number 138888 Answers: 1 Comments: 0

Calculus: lim_(x→∞) [ (x^2 /2^x ) + (2^x /(x!)) + ((x!)/x^x ) ] = ?

$C a l c u l u s :$ $\underset{x \to \infty}{l i m} [\frac{x^{2}}{2^{x}} + \frac{2^{x}}{x!} + \frac{x!}{x^{x}}] = ?$

Question Number 138883 Answers: 0 Comments: 0

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