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Question Number 163690 Answers: 1 Comments: 0

lim_(x→0) ((cos 2x cos 4x cos 8x − 3x csc 2x)/(2x^2 )) =?

$\lim_{x \to 0} \frac{\cos 2 x \cos 4 x \cos 8 x - 3 x \csc 2 x}{2 x^{2}} = ?$

Question Number 163688 Answers: 2 Comments: 0

Question Number 163687 Answers: 0 Comments: 0

Question Number 163682 Answers: 1 Comments: 0

Ω= ∫_0 ^( 1) (Li_( 2) ^ (x ))^( 2) dx = ? ■ m.n −−− −−−

$Ω = \int_{0}^{1} {({Li}_{2}^{} (x))}^{2} d x = ? ◼ m . n$ $- - - - - -$

Question Number 163675 Answers: 0 Comments: 1

how do we find the sum of the terms after the n^(th) term of a GP

$h o w d o w e f i n d t h e s u m o f t h e t e r m s a f t e r$ $t h e n^{t h} t e r m o f a G P$

Question Number 163666 Answers: 4 Comments: 0

lim _(x→𝛑) (((x^𝛑 − 𝛑^x )/(x−𝛑))) =?? ≪zaynal≫

$\lim_{x \to π} (\frac{x^{π} - π^{x}}{x - π}) = ? ?$ $≪ zaynal ≫$

Question Number 163662 Answers: 1 Comments: 1

Question Number 163651 Answers: 1 Comments: 1

if (a−2b)^2 +(b−2c)^2 =0 find volve (((b+c−a)^3 )/(abc))=?

$i f {(a - 2 b)}^{2} + {(b - 2 c)}^{2} = 0$ $f i n d v o l v e \frac{{(b + c - a)}^{3}}{a b c} = ?$

Question Number 163650 Answers: 1 Comments: 2

lim_(x→π) ((x^π^x −π^x^π )/(x−π))=?

$\lim_{x \to π} \frac{x^{π^{x}} - π^{x^{π}}}{x - π} = ?$

Question Number 163642 Answers: 1 Comments: 0

lim_(x→(2/3)) ((⌊3x⌋−3x)/(9x^2 −4)) =?

$\lim_{x \to \frac{2}{3}} \frac{⌊ 3 x ⌋ - 3 x}{9 x^{2} - 4} = ?$

Question Number 163638 Answers: 0 Comments: 2

∫ (dx/( (√(2c_1 +e^(−2x) ))))

$\int \frac{d x}{\sqrt{2 c_{1} + e^{- 2 x}}}$

Question Number 163632 Answers: 2 Comments: 0

(((x^2 - y^2 )∙(√3))/( (√(x^3 + 3x^2 y + 3xy^2 + y^3 )))) = -1 x^3 + y^3 = (x + y)^2 find: x and y

$\frac{(x^{2} - y^{2}) \cdot \sqrt{3}}{\sqrt{x^{3} + {3 x}^{2} y + {3 xy}^{2} + y^{3}}} = - 1$ $x^{3} + y^{3} = {(x + y)}^{2}$ $find : x and y$

Question Number 163631 Answers: 2 Comments: 0

x + (1/x) = (√3) ⇒ x^(3579) + (1/x^(3579) ) = ?

$x + \frac{1}{x} = \sqrt{3} \Rightarrow x^{3579} + \frac{1}{x^{3579}} = ?$

Question Number 163627 Answers: 2 Comments: 0

Question Number 163624 Answers: 1 Comments: 0

Question Number 163619 Answers: 1 Comments: 2

Prove that; ∫_(−∞) ^0 e^(−∣t∣) dt = 1

$P r o v e t h a t;$ $\int_{- \infty}^{0} e^{- ∣ t ∣} d t = 1$

Question Number 163618 Answers: 0 Comments: 0

Question Number 163613 Answers: 0 Comments: 0

Question Number 163614 Answers: 0 Comments: 0

∫((sec^2 x)/((secx+tanx)^(9/2) ))dx

$\int \frac{{s e c}^{2} x}{{(s e c x + t a n x)}^{9 / 2}} d x$

Question Number 163611 Answers: 1 Comments: 0

Question Number 163610 Answers: 1 Comments: 0

Question Number 163609 Answers: 0 Comments: 0

lim_(n→∞) n[A−n(H_n −lnn−γ)]=B Find (A/B)=?

$\underset{n \to \infty}{\lim n} [A - n (H_{n} - lnn - γ)] = B$ $Find \frac{A}{B} = ?$

Question Number 163608 Answers: 0 Comments: 0

A_n =(n/(n^2 +1^2 ))+(n/(n^2 +2^2 ))+...+(n/(n^2 +n^2 )) Prove:: lim_(n→∞) (1/(n^4 {(1/(24))−n[n((π/4)−A_n )−(1/4)]}))=2016

$A_{n} = \frac{n}{n^{2} + 1^{2}} + \frac{n}{n^{2} + 2^{2}} + . . . + \frac{n}{n^{2} + n^{2}}$ $Prove :: \lim_{n \to \infty} \frac{1}{n^{4} {\frac{1}{24} - n [n (\frac{π}{4} - A_{n}) - \frac{1}{4}]}} = 2016$

Question Number 163601 Answers: 0 Comments: 0

∫_(2/π) ^(+oo) ln(cos((1/x)))dx narure?

$\int_{\frac{2}{π}}^{+ o o} l n (c o s (\frac{1}{x})) d x$ $n a r u r e ?$

Question Number 163600 Answers: 1 Comments: 0

a line charges of charge density pl=4x^3 −x+3mc/m laying along the x−axis. determine the total charge if the line charge extends from x=2 and x=6 m

$a l i n e c h a r g e s o f c h a r g e d e n s i t y$ $p l = 4 x^{3} - x + 3 m c / m l a y i n g a l o n g t h e x - a x i s .$ $d e t e r m i n e t h e t o t a l c h a r g e i f t h e l i n e c h a r g e$ $e x t e n d s f r o m x = 2 a n d x = 6 m$

Question Number 163591 Answers: 0 Comments: 3

Re^ soudre (∂^2 u/∂x^2 )+(∂^2 u/∂y^2 )=10e^(2x+y)

$R \overset{´}{e s o u d r e} \frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}} = 10 e^{2 x + y}$

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