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IntegrationQuestion and Answers: Page 139

Question Number 112206 Answers: 0 Comments: 0

∫ln(sin(x)) dx

$\int l n (s i n (x)) d x$

Question Number 112189 Answers: 0 Comments: 0

prove that ∫_0 ^∞ (1/(cos(x)+sinh(x)))dx=1.4917.

$p r o v e t h a t$ $\int_{0}^{\infty} \frac{1}{c o s (x) + s i n h (x)} d x = 1.4917 .$

Question Number 112169 Answers: 2 Comments: 0

∫ tan^3 x sec^3 x dx ?

$\int \tan^{3} x \sec^{3} x d x ?$

Question Number 112119 Answers: 1 Comments: 0

....calculus.... prove that::: if Ω =∫_(0 ) ^( 1) ln(ln(1−(√x) ))dx then Re(Ω) := −γ + ln(2).... m.n. july 1970#

$. . . . c a l c u l u s . . . .$ $p r o v e t h a t :::$ $i f Ω = \int_{0}^{1} l n (l n (1 - \sqrt{x})) d x$ $t h e n$ $R e (Ω) := - γ + l n (2) . . . .$ $You can't use 'macro parameter character #' in math mode$

Question Number 112545 Answers: 2 Comments: 2

please solve : I=∫_0 ^( 1) xlog^2 (((1−x)/(1+x)))dx =??? ...m.n.july 1970.... good luck .

$p l e a s e s o l v e :$ $I = \int_{0}^{1} {x l o g}^{2} (\frac{1 - x}{1 + x}) d x = ? ? ?$ $. . . m . n . j u l y 1970 . . . .$ $g o o d l u c k .$

Question Number 111876 Answers: 0 Comments: 0

Question Number 111873 Answers: 1 Comments: 0

(√(bemath)) ∫ ((2−cos x)/(2+cos x)) dx

$\sqrt{b e m a t h}$ $\int \frac{2 - \cos x}{2 + \cos x} d x$

Question Number 111859 Answers: 2 Comments: 7

I=∫(dx/((x^2 +2x+3)(√(x^2 +x+3)))) = ? my try..

$I = \int \frac{d x}{(x^{2} + 2 x + 3) \sqrt{x^{2} + x + 3}} = ?$ $m y t r y . .$

Question Number 111818 Answers: 3 Comments: 0

(√(bemath )) (1)∫ ((cos x)/(2−cos x)) dx (2) f(x) = ∣x^3 ∣ ⇒ f ′(x) ?

$\sqrt{b e m a t h}$ $(1) \int \frac{\cos x}{2 - \cos x} d x$ $(2) f (x) = ∣ x^{3} ∣ \Rightarrow f^{'} (x) ?$

Question Number 111771 Answers: 0 Comments: 0

calculate lim_(n→+∞) a_n ∫_0 ^1 x^(2n) sin(((πx)/2))dx with a_n =Σ_(k=1) ^n sin(((πk)/(2n)))

$calculate \lim_{n \to + \infty} a_{n} \int_{0}^{1} x^{2 n} \sin (\frac{π x}{2}) dx with a_{n} = \sum_{k = 1}^{n} \sin (\frac{π k}{2 n})$

Question Number 111770 Answers: 0 Comments: 0

f function continue on [0,1] find lim_(n→+∞) (1/n)Σ_(k=0) ^n (n−k)∫_(k/n) ^((k+1)/n) f(x)dx

$f function continue on [0, 1] find \lim_{n \to + \infty} \frac{1}{n} \sum_{k = 0}^{n} (n - k) \int_{\frac{k}{n}}^{\frac{k + 1}{n}} f (x) dx$

Question Number 111768 Answers: 0 Comments: 0

explicite f(x) =∫_0 ^(2π) ln(x^2 −2xcosθ +1)dθ (x≠+^− 1)

$explicite f (x) = \int_{0}^{2 π} \ln (x^{2} - 2 xcos θ + 1) d θ (x \neq \bar{+} 1)$

Question Number 111762 Answers: 1 Comments: 0

caoculate ∫_0 ^(π/4) ln(1+2tanx)dx

$caoculate \int_{0}^{\frac{π}{4}} \ln (1 + 2 tanx) dx$

Question Number 111760 Answers: 0 Comments: 0

find lim_(x→1^+ ) ∫_x ^x^2 ((ln(t))/((t−1)^2 ))dx

$find \lim_{x \to 1^{+}} \int_{x}^{x^{2}} \frac{\ln (t)}{{(t - 1)}^{2}} dx$

Question Number 111756 Answers: 0 Comments: 0

find I_n =∫_0 ^(π/4) (du/(cos^n u))

$find I_{n} = \int_{0}^{\frac{π}{4}} \frac{du}{\cos^{n} u}$

Question Number 111719 Answers: 2 Comments: 0

....advanced mathematics.... please demonstrate that:: Φ =∫_0 ^( 1) xlog(1−x).log(1+x)= (1/4) − log(2) ... m.n.july 1970 #

$. . . . a d v a n c e d m a t h e m a t i c s . . . .$ $p l e a s e d e m o n s t r a t e t h a t ::$ $Φ = \int_{0}^{1} x l o g (1 - x) . l o g (1 + x) = \frac{1}{4} - l o g (2) . . .$ $You can't use 'macro parameter character #' in math mode$

Question Number 111558 Answers: 1 Comments: 9

∫(x)^(1/x) dx=?

$\int \sqrt[x]{x} d x = ?$

Question Number 111499 Answers: 0 Comments: 0

Question Number 111429 Answers: 1 Comments: 0

please evaluate : .... I=∫_0 ^( (π/2)) ((1/(ln(tan(x)))) + (1/(1−tan(x))))dx =??? ::: M. N.july 1970 :::

$p l e a s e e v a l u a t e :$ $. . . . I = \int_{0}^{\frac{π}{2}} (\frac{1}{l n (t a n (x))} + \frac{1}{1 - t a n (x)}) d x = ? ? ?$ $::: M . N . j u l y 1970 :::$

Question Number 111357 Answers: 0 Comments: 0

∫_0 ^1 ((tan^(−1) x)/(1+x^3 ))dx

$\int_{0}^{1} \frac{{t a n}^{- 1} x}{1 + x^{3}} d x$

Question Number 111195 Answers: 2 Comments: 0

(√(bemath)) ∫ (dx/( ((x−1))^(1/(3 )) (((x+1)^2 ))^(1/(3 )) )) ?

$\sqrt{bemath}$ $\int \frac{dx}{\sqrt[3]{x - 1} \sqrt[3]{{(x + 1)}^{2}}} ?$

Question Number 111189 Answers: 4 Comments: 0

(1) ∫ (((x+1)dx)/(x^4 (x−1))) ? (2) (dy/dx) + (y/(x−2)) = 5(x−2)(√y)

$(1) \int \frac{(x + 1) d x}{x^{4} (x - 1)} ?$ $(2) \frac{d y}{d x} + \frac{y}{x - 2} = 5 (x - 2) \sqrt{y}$

Question Number 111174 Answers: 0 Comments: 0

following the newest trend − what do I say!? − ahead of it, of course! I post this answer to one of the next questions, look out for it so you won′t miss it! I=I_1 −2I_2 =ξ(5)+Γ(7/3)−2/(√π)+C

$f o l l o w i n g t h e n e w e s t t r e n d - w h a t d o I$ $s a y! ? - a h e a d o f i t, o f c o u r s e! I p o s t t h i s$ $a n s w e r t o o n e o f t h e n e x t q u e s t i o n s, l o o k$ $o u t f o r i t s o y o u {w o n}^{'} t m i s s i t!$ $I = I_{1} - 2 I_{2} = ξ (5) + Γ (7 / 3) - 2 / \sqrt{π} + C$

Question Number 111109 Answers: 0 Comments: 0

Question Number 111104 Answers: 2 Comments: 2

Question Number 111048 Answers: 0 Comments: 0

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