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Question Number 114784 Answers: 1 Comments: 0

Question Number 114782 Answers: 0 Comments: 2

0^0 =?

Question Number 114779 Answers: 1 Comments: 0

Question Number 114777 Answers: 1 Comments: 0

Question Number 114773 Answers: 1 Comments: 0

Evaluate: ∫ (1/(sin^5 x + cos^5 x)) dx

$Evaluate : \int \frac{1}{\sin^{5} x + \cos^{5} x} dx$

Question Number 114768 Answers: 2 Comments: 0

Solve for ∣x−2∣+∣1−x∣=4

$Solve for ∣ x - 2 ∣ + ∣ 1 - x ∣= 4$

Question Number 114765 Answers: 1 Comments: 0

Find the maximum. and minimum value of ⌊1+sinx⌋+⌊1+sin3x⌋+⌊1+sin2x⌋

$F i n d t h e m a x i m u m . a n d m i n i m u m v a l u e o f ⌊ 1 + s i n x ⌋ + ⌊ 1 + s i n 3 x ⌋ + ⌊ 1 + s i n 2 x ⌋$

Question Number 114764 Answers: 1 Comments: 0

Find period of f(x)=e^(cos^4 (πx)+x−⌊x⌋+cos^2 (πx))

$F i n d p e r i o d o f f (x) = e^{{c o s}^{4} (π x) + x - ⌊ x ⌋ + {c o s}^{2} (π x)}$

Question Number 114758 Answers: 1 Comments: 0

Π_(n=1) ^∞ ((4n^2 (10n−6)(10n−4))/((2n−1)^2 (10n−1)(10n+1))) =?

$\underset{n = 1}{\prod^{\infty}} \frac{4 n^{2} (10 n - 6) (10 n - 4)}{{(2 n - 1)}^{2} (10 n - 1) (10 n + 1)} = ?$

Question Number 114754 Answers: 4 Comments: 1

Without L′Hopital lim_(x→(π/4)) ((((1/(cos^2 x)) −2tan x ))/(cos 2x)) ?

$W i t h o u t L^{'} H o p i t a l$ $\lim_{x \to \frac{π}{4}} \frac{(\frac{1}{\cos^{2} x} - 2 \tan x)}{\cos 2 x} ?$

Question Number 114753 Answers: 1 Comments: 0

find minimum value of function f(x) = (((x+17)^3 )/x) , x>0

$f i n d m i n i m u m v a l u e o f f u n c t i o n$ $f (x) = \frac{{(x + 17)}^{3}}{x}, x > 0$

Question Number 114740 Answers: 2 Comments: 0

question proposed by m.n july 1970 show that ∫_0 ^∞ ((ln(1+x))/(x(1+x^2 )))dx=((5π^2 )/(48))

$q u e s t i o n p r o p o s e d b y m . n j u l y 1970$ $s h o w t h a t$ $\int_{0}^{\infty} \frac{\ln (1 + x)}{x (1 + x^{2})} d x = \frac{5 π^{2}}{48}$

Question Number 114739 Answers: 1 Comments: 0

find the largest and smallest coefficient in (4+3x)^(−5) .

$f i n d t h e l a r g e s t a n d s m a l l e s t$ $c o e f f i c i e n t i n {(4 + 3 x)}^{- 5} .$

Question Number 114735 Answers: 1 Comments: 0

.... nice mathematics... prove that:: Σ_(n=1) ^∞ (([ (((2n)),(n) )]^2 )/((2n−1)2^(4n) )) =1−(2/π) ... m.n.july. 1970#

$. . . . n i c e m a t h e m a t i c s . . .$ $p r o v e t h a t ::$ $\underset{n = 1}{\sum^{\infty}} \frac{{[(\begin{matrix} 2 n \\ n \end{matrix})]}^{2}}{(2 n - 1) 2^{4 n}} = 1 - \frac{2}{π}$ $You can't use 'macro parameter character #' in math mode$

Question Number 114728 Answers: 0 Comments: 2

(3+4x)^(−5) =3^(−5) ×(1+(4/3)x)^(−5) ... pls what is the explanation behind the fact that i always have to factorize to get the form (1+b)^(−s) any time i am solving for binomial with negatuve power? can it be solved without first factorizing?

${(3 + 4 x)}^{- 5}$ $= 3^{- 5} \times {(1 + \frac{4}{3} x)}^{- 5}$ $. . .$ $p l s w h a t i s t h e e x p l a n a t i o n b e h i n d t h e f a c t$ $t h a t i a l w a y s h a v e t o f a c t o r i z e t o g e t t h e f o r m$ ${(1 + b)}^{- s} a n y t i m e i a m s o l v i n g f o r b i n o m i a l$ $w i t h n e g a t u v e p o w e r ?$ $c a n i t b e s o l v e d w i t h o u t f i r s t f a c t o r i z i n g ?$

Question Number 114722 Answers: 2 Comments: 0

a_n (d^n Ψ/dt^n )+a_(n−1) (d^(n−1) Ψ/dt^(n−1) )+.....+a_1 (dΨ/dt)+a_0 Ψ=0 Is it solvable???

$a_{n} \frac{d^{n} Ψ}{{d t}^{n}} + a_{n - 1} \frac{d^{n - 1} Ψ}{{d t}^{n - 1}} + . . . . . + a_{1} \frac{d Ψ}{d t} + a_{0} Ψ = 0$ $I s i t s o l v a b l e ? ? ?$

Question Number 114721 Answers: 2 Comments: 0

....nice calculus.... prove that:: Φ=∫_(0 ) ^( 1) xln[ln(x).ln(1−x)]dx=−γ γ ::= euler mascheroni constant. ...m.n.july.1970...

$. . . . n i c e c a l c u l u s . . . .$ $p r o v e t h a t ::$ $Φ = \int_{0}^{1} x l n [l n (x) . l n (1 - x)] d x = - γ$ $γ ::= e u l e r m a s c h e r o n i c o n s t a n t .$ $. . . m . n . j u l y . 1970 . . .$

Question Number 114720 Answers: 2 Comments: 0

Question Number 114710 Answers: 1 Comments: 0

Question Number 114709 Answers: 1 Comments: 1

Question Number 114708 Answers: 0 Comments: 1

Question Number 114706 Answers: 1 Comments: 1

Question Number 114699 Answers: 1 Comments: 1

∫_0 ^(π/2) (dx/( (√(1+tan^4 x)))) ?

$\underset{0}{\int^{\frac{π}{2}}} \frac{d x}{\sqrt{1 + \tan^{4} x}} ?$

Question Number 114696 Answers: 1 Comments: 0

lim_(x→0) ((sinh (2x)−sin 2x)/x^5 ) =?

$\lim_{x \to 0} \frac{\sinh (2 x) - \sin 2 x}{x^{5}} = ?$

Question Number 114689 Answers: 1 Comments: 0

∫xsin^n xdx

$\int {x s i n}^{n} x d x$

Question Number 114682 Answers: 1 Comments: 0

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