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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)

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

Question Number 151315 Answers: 1 Comments: 0

if x^2 +y^2 =16^2 ; y^2 +z^2 =24^2 z^2 +t^2 =42^2 and t^2 +x^2 =38^2 find max[(x+z)(y+t)]=?

$if x^{2} + y^{2} = 16^{2}; y^{2} + z^{2} = 24^{2}$ $z^{2} + t^{2} = 42^{2} and t^{2} + x^{2} = 38^{2}$ $find \max [(x + z) (y + t)] = ?$

Question Number 151311 Answers: 0 Comments: 0

Question Number 151308 Answers: 0 Comments: 0

Question Number 151307 Answers: 2 Comments: 0

if x(√x) - 26(√x) = 5 find x - 5(√x) = ?

$if x \sqrt{x} - 26 \sqrt{x} = 5$ $find x - 5 \sqrt{x} = ?$

Question Number 151300 Answers: 3 Comments: 0

5 ∙ 6,02∙10^(23) = ? (solution) a)3,01∙10^(24) b)3,01∙10^(22)

$5 \cdot 6, 02 \cdot 10^{23} = ? (solution)$ $a) 3, 01 \cdot 10^{24} b) 3, 01 \cdot 10^{22}$

Question Number 151294 Answers: 1 Comments: 0

Question Number 151287 Answers: 0 Comments: 2

I = ∫_(x=a) ^( x=b) (√(u^2 + v^2 x^2 − 2uvwx)) dx = ?

$I = \int_{x = a}^{x = b} \sqrt{u^{2} + v^{2} x^{2} - 2 u v w x} d x = ?$

Question Number 151284 Answers: 1 Comments: 0

if (a/3^(x-1) ) = (b/3^(y+2) ) = (c/3^(z-1) ) = (1/5) find abc = ?

$if \frac{a}{3^{x - 1}} = \frac{b}{3^{y + 2}} = \frac{c}{3^{z - 1}} = \frac{1}{5}$ $find abc = ?$

Question Number 151282 Answers: 0 Comments: 0

Question Number 151281 Answers: 0 Comments: 0

Question Number 151278 Answers: 1 Comments: 0

∫ (e^(√(x - 1)) /( (√(x - 1)))) dx = ?

$\int \frac{e^{\sqrt{x - 1}}}{\sqrt{x - 1}} dx = ?$

Question Number 151276 Answers: 2 Comments: 2

∫_0 ^(2π) cos^(−1) (cos x)dx

$\int_{0}^{2 π} \cos^{- 1} (\cos x) dx$

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