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Question Number 37633 Answers: 1 Comments: 0

find ∫_0 ^(+∞) [ x e^(−x) ]dx

$f i n d \int_{0}^{+ \infty} [x e^{- x}] d x$

Question Number 37632 Answers: 1 Comments: 1

Question Number 37627 Answers: 3 Comments: 0

Given {x} = x − ⌊x⌋ How many real solutions from equation {x} + {x^2 } = 1 with −10 ≤ x ≤ 10 ?

$Given {x} = x - ⌊ x ⌋$ $How many real solutions from equation$ ${x} + {x^{2}} = 1$ $with - 10 ⩽ x ⩽ 10 ?$

Question Number 37602 Answers: 0 Comments: 4

find the value of f(a)= ∫_0 ^∞ ((x^2 −1)/((x^4 +a^4 )^2 ))dx 2) calculate ∫_0 ^∞ ((x^2 −1)/((x^4 +1)^2 ))dx

$f i n d t h e v a l u e o f$ $f (a) = \int_{0}^{\infty} \frac{x^{2} - 1}{{(x^{4} + a^{4})}^{2}} d x$ $2) c a l c u l a t e \int_{0}^{\infty} \frac{x^{2} - 1}{{(x^{4} + 1)}^{2}} d x$

Question Number 37601 Answers: 0 Comments: 2

let give n inyehr natural≥1 find tbe value of A_n = ∫_0 ^∞ (dx/((x^2 +1)(x^(2 ) +2)....(x^2 +n)))

$l e t g i v e n i n y e h r n a t u r a l ⩾ 1 f i n d t b e v a l u e o f$ $A_{n} = \int_{0}^{\infty} \frac{d x}{(x^{2} + 1) (x^{2} + 2) . . . . (x^{2} + n)}$

Question Number 37600 Answers: 2 Comments: 0

n integr natural calculate ∫_0 ^∞ (dx/((x+1)(x+2)......(x+n)))

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

Question Number 37591 Answers: 1 Comments: 0

if the circle x^2 +y^2 −2y−8=0 and x^2 +y^2 −24x+hy=0 cut orthogonally, determine the value of h.

$if the circle x^{2} + y^{2} - 2 y - 8 = 0$ $and x^{2} + y^{2} - 24 x + h y = 0 cut orthogonally,$ $determine the value of h .$

Question Number 37587 Answers: 2 Comments: 2

calculate ∫_0 ^(2π) (dx/(2cos^2 x +(√3) sin^2 x))

$c a l c u l a t e \int_{0}^{2 π} \frac{d x}{2 {c o s}^{2} x + \sqrt{3} {s i n}^{2} x}$

Question Number 37582 Answers: 1 Comments: 3

Question Number 37579 Answers: 1 Comments: 0

a=((−1)/(2x^2 )) with x=1 and v=0 at t=0 find time that particle takes to reach x=0.25m .

$a = \frac{- 1}{2 x^{2}} w i t h x = 1 a n d v = 0 a t t = 0$ $f i n d t i m e t h a t p a r t i c l e t a k e s t o$ $r e a c h x = 0.25 m .$

Question Number 37568 Answers: 2 Comments: 0

let α and β the roots of the equation x^2 −2mx −1 =0 find interms of the real m A = α^2 +β^2 B =α^3 +β^3 c =α^4 +β^4 D= α^6 +β^6

$l e t α a n d β t h e r o o t s o f t h e e q u a t i o n$ $x^{2} - 2 m x - 1 = 0 f i n d i n t e r m s o f t h e r e a l m$ $A = α^{2} + β^{2}$ $B = α^{3} + β^{3}$ $c = α^{4} + β^{4}$ $D = α^{6} + β^{6}$

Question Number 37553 Answers: 0 Comments: 2

Question Number 37517 Answers: 1 Comments: 5

Question Number 37485 Answers: 2 Comments: 1

Question Number 37464 Answers: 1 Comments: 2

36x^2 y^2 -42x^3 y^3 +24x^5 y^4

$36 x^{2} y^{2} - 42 x^{3} y^{3} + 24 x^{5} y^{4}$

Question Number 37462 Answers: 1 Comments: 0

If x+3 is the common factor of the expressions ax^2 +bx+1 and px^2 +qx−3, then ((−(9a+3p))/(3b+q)) = ____.

$If x + 3 is the common factor of the$ $expressions {a x}^{2} + b x + 1 and$ ${p x}^{2} + q x - 3, then \frac{- (9 a + 3 p)}{3 b + q} =____.$

Question Number 37451 Answers: 2 Comments: 1

∫_0 ^( 2π) ((a^2 sin^2 θdθ)/(√(a^2 sin^2 θ+b^2 cos^2 θ))) = ?

$\int_{0}^{2 π} \frac{a^{2} \sin^{2} θ d θ}{\sqrt{a^{2} \sin^{2} θ + b^{2} \cos^{2} θ}} = ?$

Question Number 37449 Answers: 1 Comments: 0

∫_0 ^1 ((3x^3 −x^2 +2x+4)/(√(x^2 −3x+2))) dx=

$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x + 4}{\sqrt{x^{2} - 3 x + 2}} d x =$

Question Number 37447 Answers: 2 Comments: 5

Question Number 37432 Answers: 2 Comments: 0

∫(dα/((1/2)tan α +2cot (α/2)))=? ∫(dβ/(2tan (β/2) +(1/2)cot β))=?

$\int \frac{d α}{\frac{1}{2} \tan α + 2 \cot \frac{α}{2}} = ?$ $\int \frac{d β}{2 \tan \frac{β}{2} + \frac{1}{2} \cot β} = ?$

Question Number 37425 Answers: 1 Comments: 0

∫((x^5 −3x^4 −23x^3 +51x^2 +94x−120)/(8x^3 (√(42+x−x^2 ))))dx=?

$\int \frac{x^{5} - 3 x^{4} - 23 x^{3} + 51 x^{2} + 94 x - 120}{8 x^{3} \sqrt{42 + x - x^{2}}} d x = ?$

Question Number 37424 Answers: 0 Comments: 0

solve for Z(x,t)if Z_n =x^2 t subjected Z(x,0)=x^2 and Z(1,t)=cost

$solve for Z (x, t) if Z_{n} = x^{2} t subjected Z (x, 0) = x^{2}$ $and Z (1, t) = \cos t$

Question Number 37422 Answers: 0 Comments: 0

show that U(x,y)=F(2x+5y)+G(x−5y) is the general solution 4U_υ −25U_υ =0

$show that U (x, y) = F (2 x + 5 y) + G (x - 5 y)$ $is the general solution 4 U_{υ} - 25 U_{υ} = 0$

Question Number 37630 Answers: 1 Comments: 0

find ∫ (dx/((√x) +(√(x+1)) +(√(x+2))))

$f i n d \int \frac{d x}{\sqrt{x} + \sqrt{x + 1} + \sqrt{x + 2}}$

Question Number 37414 Answers: 1 Comments: 0

x^x =2 find the value of x.

$x^{x} = 2$ $f i n d t h e v a l u e o f x .$

Question Number 37411 Answers: 1 Comments: 0

((√(2)^(√2) ))

$(\sqrt{{2)}^{\sqrt{2}}}$

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