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Question Number 151415 Answers: 0 Comments: 0

∫_0 ^∞ ((ln(x)arctg(x))/(x(x^2 +1)))dx

$\int_{0}^{\infty} \frac{l n (x) a r c t g (x)}{x (x^{2} + 1)} d x$

Question Number 151404 Answers: 1 Comments: 1

Question Number 151403 Answers: 0 Comments: 5

x^3 =3^x how do i pls use lambert to find x=3

$x^{3} = 3^{x}$ $h o w d o i p l s u s e l a m b e r t t o$ $f i n d x = 3$

Question Number 151401 Answers: 1 Comments: 1

Question Number 151393 Answers: 2 Comments: 0

Question Number 151391 Answers: 1 Comments: 0

if a;b∈R and (a^2 +1)(b^2 +1)+9=6(a+b) find a^2 +b^2 =?

$if a; b \in R and$ $(a^{2} + 1) (b^{2} + 1) + 9 = 6 (a + b)$ $find a^{2} + b^{2} = ?$

Question Number 151383 Answers: 1 Comments: 1

if x;y>0 peove that: (2/3) ∙ (2/((1/x)+(1/y))) + (1/3) ∙ (√((x^2 +y^2 )/2)) ≥ xy

$if x; y > 0 peove that :$ $\frac{2}{3} \cdot \frac{2}{\frac{1}{x} + \frac{1}{y}} + \frac{1}{3} \cdot \sqrt{\frac{x^{2} + y^{2}}{2}} ⩾ xy$

Question Number 151377 Answers: 0 Comments: 2

the equation (y+13)(y+a) has no linear term. find value of a? what is means of no linear term. please expkain?

$the equation (y + 13) (y + a) has no linear term .$ $find value of a ? what is means of no linear term . please expkain ?$

Question Number 151376 Answers: 0 Comments: 0

∫ ((x^8 +1)/( (√(x^9 −2x^8 +1)))) dx ?

$\int \frac{x^{8} + 1}{\sqrt{x^{9} - {2 x}^{8} + 1}} dx ?$

Question Number 151374 Answers: 0 Comments: 0

Ω = ∫_0 ^( ∞) (( ln ((1/x) ))/(1 +e^( 2x) )) dx =^? (3/2) ln^( 2) ( 2 ) m.n

$Ω = \int_{0}^{\infty} \frac{l n (\frac{1}{x})}{1 + e^{2 x}} d x \overset{?}{=} \frac{3}{2} {l n}^{2} (2)$ $m . n$

Question Number 151371 Answers: 1 Comments: 0

a;b∈N (a+b)^2 ∙(a-b)=128 ab=?

$a; b \in N$ ${(a + b)}^{2} \cdot (a - b) = 128$ $ab = ?$

Question Number 151361 Answers: 1 Comments: 0

if x+y=45 prove that: ((1 - tan(x))/(1 - tan(y))) = tan(2y)

$if x + y = 45 prove that :$ $\frac{1 - \tan (x)}{1 - \tan (y)} = \tan (2 y)$

Question Number 151360 Answers: 0 Comments: 0

find max(ℜ(I)+ℑ(I)) for the integral I = ∫_z ^( z+1) cos(cos(cos(x^(cos(cos(cos(x)))) )))dx z ∈ R

$find \max (ℜ (I) + ℑ (I)) for the integral$ $I = \int_{z}^{z + 1} \cos (\cos (\cos (x^{\cos (\cos (\cos (x)))}))) d x$ $z \in R$

Question Number 151357 Answers: 1 Comments: 6

Question Number 151351 Answers: 1 Comments: 0

Question Number 151350 Answers: 0 Comments: 4

Question Number 151346 Answers: 1 Comments: 0

x^2 + 5x + 25 = 0 ⇒ x^3 - 100 = ?

$x^{2} + 5 x + 25 = 0 \Rightarrow x^{3} - 100 = ?$

Question Number 151345 Answers: 1 Comments: 0

∫_0 ^π (e^(cos x) /(e^(cos x) +e^(−cos x) ))dx

$\int_{0}^{π} \frac{e^{\cos x}}{e^{\cos x} + e^{- \cos x}} dx$

Question Number 151344 Answers: 2 Comments: 0

x^2 - 4x + 1 = 0 ⇒ x^3 + (1/x^3 ) = ?

$x^{2} - 4 x + 1 = 0 \Rightarrow x^{3} + \frac{1}{x^{3}} = ?$

Question Number 151341 Answers: 1 Comments: 0

∫_α ^β (dx/(x(√((x−α)(β−x) ))))=(π/( (√(αβ)))) where α,β >0

$\int_{α}^{β} \frac{dx}{x \sqrt{(x - α) (β - x)}} = \frac{π}{\sqrt{α β}}$ $where α, β > 0$

Question Number 151340 Answers: 1 Comments: 0

Evaluate ∫_(−1) ^1 (((2x^(332) +x^(998) +4x^(1668) .sin x^(691) ))/(1+x^(666) ))dx

$Evaluate$ $\int_{- 1}^{1} \frac{({2 x}^{332} + x^{998} + {4 x}^{1668} . \sin x^{691})}{1 + x^{666}} dx$

Question Number 151332 Answers: 1 Comments: 2

which is larger? 2^(√(10)) or 3^2

$which is larger ?$ $2^{\sqrt{10}} or 3^{2}$

Question Number 151322 Answers: 1 Comments: 1

Determine all pairs (x;y) of integers which satisfy: x^3 - 3x + y = 0

$Determine all pairs (x; y) of integers$ $which satisfy :$ $x^{3} - 3 x + y = 0$

Question Number 151321 Answers: 0 Comments: 0

Question Number 151317 Answers: 2 Comments: 0

if x=(((√7) - (√6)))^(1/3) + (((√7) + (√6)))^(1/3) find E(x) = x^6 - 6x^4 + 9x^2 = ?

$if x = \sqrt[3]{\sqrt{7} - \sqrt{6}} + \sqrt[3]{\sqrt{7} + \sqrt{6}}$ $find E (x) = x^{6} - {6 x}^{4} + {9 x}^{2} = ?$

Question Number 151316 Answers: 1 Comments: 0

Find positive integers a and b such that ((a)^(1/3) +(b)^(1/3) −1)^2 = 49+ 20(6)^(1/3)

$F i n d p o s i t i v e i n t e g e r s$ $a a n d b s u c h t h a t$ ${(\sqrt[3]{a} + \sqrt[3]{b} - 1)}^{2} = 49 + 20 \sqrt[3]{6}$

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