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Question Number 205319 Answers: 0 Comments: 0

Question Number 205318 Answers: 0 Comments: 0

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Question Number 205315 Answers: 1 Comments: 0

Question Number 205307 Answers: 1 Comments: 1

lim_(n→∞) ((⌊a⌋+⌊2a⌋+...+⌊na⌋)/n^2 ) where a∈R and ⌊x⌋ is the floor of x ∈ R

$\lim_{n \to \infty} \frac{⌊ a ⌋ + ⌊ 2 a ⌋ + . . . + ⌊ n a ⌋}{n^{2}} where a \in R$ $and ⌊ x ⌋ is the floor of x \in R$

Question Number 205306 Answers: 1 Comments: 0

Question Number 205302 Answers: 1 Comments: 0

Question Number 205294 Answers: 1 Comments: 0

∫((3x−x^3 ))^(1/3) dx

$\int \sqrt[3]{3 x - x^{3}} d x$

Question Number 205289 Answers: 0 Comments: 0

Question Number 205288 Answers: 0 Comments: 0

Question Number 205284 Answers: 0 Comments: 0

Question Number 205297 Answers: 2 Comments: 0

Find the′′ range ′′ of : i : f (x) =⌊ (( x)/( ⌊ x ⌋)) ⌋ ii: f(x) = (( x)/(⌊ x ⌋ + ⌊ −x ⌋))

$F i n d {t h e}^{″} r a n g e^{″} o f :$ $i : f (x) = ⌊ \frac{x}{⌊ x ⌋} ⌋$ $i i : f (x) = \frac{x}{⌊ x ⌋ + ⌊ - x ⌋}$

Question Number 205280 Answers: 0 Comments: 1

Question Number 205279 Answers: 1 Comments: 0

∫^(π/2) _(-π/2) ((8(√2)cosx)/((1+e^(sinx) )(1+sin^4 x)))dx=aπ+blog(3+2(√2)) then find a+b

${\int_{- π / 2}}^{π / 2} \frac{8 \sqrt{2} c o s x}{(1 + \overset{s i n x}{e}) (1 + s i \overset{4}{n x})} d x = a π + b l o g (3 + 2 \sqrt{2}) t h e n f i n d a + b$

Question Number 205273 Answers: 3 Comments: 0

If f(x−1)=2x+2 Find f(x)=?

$If f (x - 1) = 2 x + 2$ $Find f (x) = ?$

Question Number 205269 Answers: 2 Comments: 0

Question Number 205264 Answers: 1 Comments: 0

pls how to calculate this? ∫_(1/2) ^1 ((ln(x+1))/x)dx

$p l s h o w t o c a l c u l a t e t h i s ?$ $\int_{\frac{1}{2}}^{1} \frac{l n (x + 1)}{x} d x$

Question Number 205262 Answers: 1 Comments: 0

nature of the serie Σ_(n≥1) ((ln(n))/n)

$n a t u r e o f t h e s e r i e \sum_{n ⩾ 1} \frac{l n (n)}{n}$

Question Number 205256 Answers: 2 Comments: 2

Find: lim_(x→0) ((1/x)) = ?

$Find : \lim_{x \to 0} (\frac{1}{x}) = ?$

Question Number 205248 Answers: 1 Comments: 0

∫_0 ^π ((x^2 cos^2 (x)−xsin(x)−cos(x)−1)/((1+xsin(x))^2 ))dx

$\int_{0}^{π} \frac{x^{2} \cos^{2} (x) - x \sin (x) - \cos (x) - 1}{{(1 + x \sin (x))}^{2}} d x$

Question Number 205361 Answers: 1 Comments: 0

Question Number 205245 Answers: 1 Comments: 0

calculate ∫((3xdx)/( (√(1−x^4 )))) plsssssss

$c a l c u l a t e$ $\int \frac{3 x d x}{\sqrt{1 - x^{4}}}$ $p l s s s s s s s$

Question Number 207920 Answers: 2 Comments: 2

Given p,q ,r and s real positive numbers such that { ((p^2 +q^2 = r^2 +s^2 )),((p^2 +s^2 −ps = q^2 +r^2 +qr.)) :} Find ((pq+rs)/(ps+qr)) .

$Given p, q, r and s real positive$ $numbers such that$ ${\begin{cases} p^{2} + q^{2} = r^{2} + s^{2} \\ p^{2} + s^{2} - ps = q^{2} + r^{2} + qr . \end{cases}$ $Find \frac{pq + rs}{ps + qr} .$

Question Number 205238 Answers: 1 Comments: 1

4^x + x = 260 find the possible values of x

$4^{x} + x = 260$ $f i n d t h e p o s s i b l e v a l u e s o f x$

Question Number 205237 Answers: 1 Comments: 0

Question Number 205230 Answers: 0 Comments: 1

Question Number 205227 Answers: 1 Comments: 2

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