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Question Number 160291 Answers: 3 Comments: 0

Ω = ∫ ((x^2 −3x+7)/((x^2 −4x+6)^2 )) dx =?

$Ω = \int \frac{x^{2} - 3 x + 7}{{(x^{2} - 4 x + 6)}^{2}} dx = ?$

Question Number 160289 Answers: 2 Comments: 0

Σ_(n≥1) ^∞ (1/(n(2n+1)^2 ))=?

$\underset{n ⩾ 1}{\sum^{\infty}} \frac{1}{n {(2 n + 1)}^{2}} = ?$

Question Number 160283 Answers: 0 Comments: 1

Question Number 160282 Answers: 1 Comments: 0

Find: lim_(x→b) ((b^x - x^b )/(x - b))

$Find : \lim_{x \to b} \frac{b^{x} - x^{b}}{x - b}$

Question Number 160281 Answers: 1 Comments: 0

∫_0 ^1 ((ln^2 (1−x)lnx)/x)dx=?

$\int_{0}^{1} \frac{\ln^{2} (1 - x) lnx}{x} dx = ?$

Question Number 160276 Answers: 1 Comments: 0

∫_0 ^1 ((ln(1−x)ln(x))/(1−x))dx=?

$\int_{0}^{1} \frac{\ln (1 - x) \ln (x)}{1 - x} dx = ?$

Question Number 160270 Answers: 2 Comments: 0

Question Number 160269 Answers: 0 Comments: 1

In each square of a 5×5 board there is a lamp turned off.If we touch a lamp then that lamp and the ones in neighbouring squares(the squares which share a side)change their states.After a certain number of moves,Is it possible to turn on all lamps?Give Reason?

$I n e a c h s q u a r e o f a 5 \times 5 b o a r d t h e r e$ $i s a l a m p t u r n e d o f f . I f w e t o u c h a$ $l a m p t h e n t h a t l a m p a n d t h e o n e s i n$ $n e i g h b o u r i n g s q u a r e s (t h e s q u a r e s$ $w h i c h s h a r e a s i d e) c h a n g e t h e i r$ $s t a t e s . A f t e r a c e r t a i n n u m b e r o f$ $m o v e s, I s i t p o s s i b l e t o t u r n o n a l l$ $l a m p s ? G i v e R e a s o n ?$

Question Number 160268 Answers: 0 Comments: 0

Question Number 160263 Answers: 1 Comments: 1

Σ_(r=0) ^∞ ((sin(rα))/(r!))

$\underset{r = 0}{\sum^{\infty}} \frac{s i n (r α)}{r!}$

Question Number 160259 Answers: 0 Comments: 0

Find: Σ_(n=1) ^∞ (-1)^(n+1) ((1∙4∙...∙(3n-2))/(7∙9∙...∙(2n+5))) = ?

$Find :$ $\underset{n = 1}{\sum^{\infty}} {(- 1)}^{n + 1} \frac{1 \cdot 4 \cdot . . . \cdot (3 n - 2)}{7 \cdot 9 \cdot . . . \cdot (2 n + 5)} = ?$

Question Number 160256 Answers: 0 Comments: 2

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

$\lim_{x \to 2} \frac{\sin x^{x} - \sin 2^{x}}{2^{x^{x}} - 2^{2^{x}}} = ?$

Question Number 160254 Answers: 1 Comments: 0

Question Number 160253 Answers: 0 Comments: 0

Question Number 160252 Answers: 2 Comments: 0

∫_0 ^( 1) (( ln^( 2) (1−x )ln(x))/x)dx=?

$\int_{0}^{1} \frac{{l n}^{2} (1 - x) l n (x)}{x} d x = ?$

Question Number 160296 Answers: 1 Comments: 1

Question Number 160246 Answers: 1 Comments: 0

Question Number 160244 Answers: 1 Comments: 0

Li_(x→0) m (((tan^(−1) (x)−tan (x))/(sin^(−1) (x)−sin (x))))=?

$L \underset{x \to 0}{i m} (\frac{\tan^{- 1} (x) - \tan (x)}{\sin^{- 1} (x) - \sin (x)}) = ?$

Question Number 160241 Answers: 1 Comments: 1

Question Number 160233 Answers: 0 Comments: 0

Question Number 160235 Answers: 2 Comments: 0

solve 3^x +3x=10

$s o l v e 3^{x} + 3 x = 10$

Question Number 160223 Answers: 0 Comments: 0

Ω:=∫_0 ^( ∞) (( x)/(( e^( x) +e^( −x) )^( 3) )) dx =?

$Ω := \int_{0}^{\infty} \frac{x}{{(e^{x} + e^{- x})}^{3}} d x = ?$

Question Number 160219 Answers: 0 Comments: 0

Σ_(k=1) ^n Π_(i=1) ^m (i^2 −k)k^4 how to solving is programming C++

$\underset{k = 1}{\sum^{n}} \underset{i = 1}{\prod^{m}} (i^{2} - k) k^{4}$ $how to s o l v i n g is programming C + +$

Question Number 160215 Answers: 0 Comments: 0

Question Number 160221 Answers: 1 Comments: 4

Question Number 160204 Answers: 1 Comments: 1

∫_0 ^1 (x/(1−x^3 ))=?

$\int_{0}^{1} \frac{x}{1 - x^{3}} = ?$

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