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IntegrationQuestion and Answers: Page 141

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

Question Number 111083 Answers: 2 Comments: 0

(√(bemath)) (1)∫ (dx/(3sin x+sin^3 x)) (2) lim_(x→∞) x(5^(1/x) −1) (3) find the asymptotes (x^2 /a^2 ) − (y^2 /b^2 ) = 1

$\sqrt{bemath}$ $(1) \int \frac{dx}{3 \sin x + \sin^{3} x}$ $(2) \lim_{x \to \infty} x (5^{\frac{1}{x}} - 1)$ $(3) find the asymptotes \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$

Question Number 111082 Answers: 1 Comments: 1

[∫_0 ^∞ JS dx ] ∫_0 ^(π/2) ((sin (x)(4+sin^2 (x)))/((4−sin^2 (x))^2 )) dx ?

$[\int_{0}^{\infty} J S d x]$ $\underset{0}{\int^{\frac{π}{2}}} \frac{\sin (x) (4 + \sin^{2} (x))}{{(4 - \sin^{2} (x))}^{2}} d x ?$

Question Number 111027 Answers: 0 Comments: 0

★((log _(JS) (farmer))/)★ (1)∫ ((tan (ln x)tan (ln ((x/2)))dx)/x) (2) sin (cos x) < cos (sin x) ; where 0≤x≤2π

$★ \frac{\log_{J S} (f a r m e r)}{} ★$ $(1) \int \frac{\tan (\ln x) \tan (\ln (\frac{x}{2})) d x}{x}$ $(2) \sin (\cos x) < \cos (\sin x); w h e r e$ $0 ⩽ x ⩽ 2 π$

Question Number 111025 Answers: 1 Comments: 0

calculate ∫_0 ^∞ ((x^2 ln(x))/((1+x)^4 ))dx

$calculate \int_{0}^{\infty} \frac{x^{2} \ln (x)}{{(1 + x)}^{4}} dx$

Question Number 111024 Answers: 1 Comments: 0

calculate ∫_0 ^∞ ((x^2 lnx)/((1+x^2 )^3 ))dx

$calculate \int_{0}^{\infty} \frac{x^{2} lnx}{{(1 + x^{2})}^{3}} dx$

Question Number 111010 Answers: 1 Comments: 0

∫e^x tanx dx

$\int e^{x} t a n x d x$

Question Number 111017 Answers: 2 Comments: 0

(√(bemath)) ∫ (dx/( ((4−((3−2x))^(1/(3 )) ))^(1/(4 )) )) ?

$\sqrt{bemath}$ $\int \frac{dx}{\sqrt[4]{4 - \sqrt[3]{3 - 2 x}}} ?$

Question Number 110875 Answers: 4 Comments: 0

(1)∫_e ^e^e ((ln (x).ln (ln (x)))/x) dx ? (2)lim_(x→π/4) ((cosec^2 x−2)/(cot x−1)) (3) Given { ((xy=((16y−9x)/(45)))),(((4/( (√x)))−(3/( (√y))) = 5)) :} ⇒find 9(√(xy))

$(1) \underset{e}{\int^{e^{e}}} \frac{\ln (x) . \ln (\ln (x))}{x} dx ?$ $(2) \lim_{x \to π / 4} \frac{cosec^{2} x - 2}{\cot x - 1}$ $(3) Given {\begin{cases} xy = \frac{16 y - 9 x}{45} \\ \frac{4}{\sqrt{x}} - \frac{3}{\sqrt{y}} = 5 \end{cases}$ $\Rightarrow find 9 \sqrt{xy}$

Question Number 110800 Answers: 0 Comments: 0

∫((sin(x))/(x^2 +1))dx

$\int \frac{s i n (x)}{x^{2} + 1} d x$

Question Number 110772 Answers: 0 Comments: 0

lim_(n→∞) (1+Σ_(r=1) ^n (1/(3^r r!))Π_(k=1) ^r (2k−1))

$\lim_{n \to \infty} (1 + \underset{r = 1}{\sum^{n}} \frac{1}{3^{r} r!} \underset{k = 1}{\prod^{r}} (2 k - 1))$

Question Number 110749 Answers: 1 Comments: 0

please evaluate : Ω=∫_0 ^( (1/2)) ((ln^2 (1−x))/x) dx=??? M.N.July 1970# .... Good luck....

$p l e a s e e v a l u a t e :$ $Ω = \int_{0}^{\frac{1}{2}} \frac{{l n}^{2} (1 - x)}{x} d x = ? ? ?$ $You can't use 'macro parameter character #' in math mode$ $. . . . G o o d l u c k . . . .$

Question Number 118674 Answers: 1 Comments: 0

Please integrate ∫_0 ^1 (1/(1+x^c ))dx where c is a constant.

$P l e a s e i n t e g r a t e$ $\int_{0}^{1} \frac{1}{1 + x^{c}} d x w h e r e c i s a c o n s t a n t .$

Question Number 110551 Answers: 2 Comments: 0

Question Number 110549 Answers: 2 Comments: 1

Question Number 110543 Answers: 1 Comments: 0

Question Number 110888 Answers: 3 Comments: 0

....calculus.... please solve : Ω_1 =∫_0 ^( (π/4)) ((√(tan(x))) +(√(cot(x))) )dx=?? Ω_2 =∫_0 ^(π/4) tan(x)ln((1+tan^2 (x)))dx =?? ...M.N.july 1970#... Good luck

$. . . . c a l c u l u s . . . .$ $p l e a s e s o l v e :$ $Ω_{1} = \int_{0}^{\frac{π}{4}} (\sqrt{t a n (x)} + \sqrt{c o t (x)}) d x = ? ?$ $Ω_{2} = \int_{0}^{\frac{π}{4}} t a n (x) l n ((1 + {t a n}^{2} (x))) d x = ? ?$ $You can't use 'macro parameter character #' in math mode$ $G o o d l u c k$

Question Number 110451 Answers: 1 Comments: 0

calculate U_n =∫_([(1/n),n[^2 ) (x^2 −y^2 )e^(−x^2 −y^2 ) dxdy and lim_(n→+∞) U_n

$calculate U_{n} = \int_{[\frac{1}{n}, n [^{2}} (x^{2} - y^{2}) e^{- x^{2} - y^{2}} dxdy$ $and \lim_{n \to + \infty} U_{n}$

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