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IntegrationQuestion and Answers: Page 130

Question Number 117724 Answers: 2 Comments: 5

∫ ((sin^(−1) (x))/x^2 ) dx =?

$\int \frac{\sin^{- 1} (x)}{x^{2}} dx = ?$

Question Number 117655 Answers: 0 Comments: 3

Question Number 117654 Answers: 0 Comments: 1

Question Number 117638 Answers: 2 Comments: 0

∫_0 ^1 ((2x^(12) +5x^9 )/((x^5 +x^3 +1)^3 )) dx =?

$\underset{0}{\int^{1}} \frac{{2 x}^{12} + {5 x}^{9}}{{(x^{5} + x^{3} + 1)}^{3}} dx = ?$

Question Number 117574 Answers: 1 Comments: 0

... advanced integral... Evaluate :: I := ∫_0 ^( ∞) (( 4xln(x))/(x^4 +2x^2 +4 ))dx =?? ... m.n.1970..

$. . . a d v a n c e d i n t e g r a l . . .$ $E v a l u a t e ::$ $I := \int_{0}^{\infty} \frac{4 x l n (x)}{x^{4} + 2 x^{2} + 4} d x = ? ?$ $. . . m . n . 1970 . .$

Question Number 117527 Answers: 1 Comments: 0

∫_( 0) ^( 1) xsec(2x)dx

$\int_{0}^{1} xsec (2 x) dx$

Question Number 117511 Answers: 3 Comments: 0

Question Number 117496 Answers: 2 Comments: 0

∫ ((sec^2 θ tan^2 θ)/( (√(9−tan^2 θ)))) dθ =?

$\int \frac{\sec^{2} θ \tan^{2} θ}{\sqrt{9 - \tan^{2} θ}} d θ = ?$

Question Number 117463 Answers: 0 Comments: 2

Question Number 117446 Answers: 2 Comments: 0

Evaluate ∫((3x^2 −5)/(x^4 +6x^2 +25))dx

$Evaluate \int \frac{3 x^{2} - 5}{x^{4} + 6 x^{2} + 25} d x$

Question Number 117437 Answers: 2 Comments: 0

∫_0 ^∞ (dx/(a^3 +x^3 )) generaly ∫_0 ^∞ (dx/(p+x^n ))

$\int_{0}^{\infty} \frac{d x}{a^{3} + x^{3}}$ $g e n e r a l y$ $\int_{0}^{\infty} \frac{d x}{p + x^{n}}$

Question Number 117431 Answers: 0 Comments: 0

Question Number 117409 Answers: 1 Comments: 0

Question Number 117403 Answers: 1 Comments: 1

∫_0 ^1 (arc tan x)^2 dx =?

$\underset{0}{\int^{1}} {(arc \tan x)}^{2} dx = ?$

Question Number 117396 Answers: 3 Comments: 0

...differential equation... solve : (dy/dx)=(1/(xy+2x^2 y)) general solution =??? m.n.1970

$. . . d i f f e r e n t i a l e q u a t i o n . . .$ $s o l v e :$ $\frac{d y}{d x} = \frac{1}{x y + 2 x^{2} y}$ $g e n e r a l s o l u t i o n = ? ? ?$ $m . n . 1970$

Question Number 117380 Answers: 1 Comments: 1

... prove that ... Ω=∫_0 ^( ∞) (1/(2(√x)))sin(π^2 x+(1/x))dx=(1/( (√(8π)))) m.n.1970

$. . . p r o v e t h a t . . .$ $Ω = \int_{0}^{\infty} \frac{1}{2 \sqrt{x}} s i n (π^{2} x + \frac{1}{x}) d x = \frac{1}{\sqrt{8 π}}$ $m . n . 1970$

Question Number 117348 Answers: 0 Comments: 1

Question Number 117342 Answers: 2 Comments: 0

(1)∫ (tan^(−1) (x))^2 dx = ? (2) ∫ tan^(−1) ((√x)) dx =?

$(1) \int {(\tan^{- 1} (x))}^{2} dx = ?$ $(2) \int \tan^{- 1} (\sqrt{x}) dx = ?$

Question Number 117329 Answers: 1 Comments: 0

nice math evaluate:: Ω=∫_0 ^( 1) ((arctan(x).ln(1−x))/(1+x^2 ))dx??? m.n.1970

$n i c e m a t h$ $e v a l u a t e ::$ $Ω = \int_{0}^{1} \frac{a r c t a n (x) . l n (1 - x)}{1 + x^{2}} d x ? ? ?$ $m . n . 1970$

Question Number 117311 Answers: 2 Comments: 0

Question Number 117253 Answers: 3 Comments: 0

calculate ∫_(−∞) ^∞ (x^2 /((x^2 −x +1)^2 ))dx

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

Question Number 117249 Answers: 1 Comments: 0

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

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

Question Number 117227 Answers: 0 Comments: 0

why every function that is Riemann integrable is not lebsgue integrable?

$w h y e v e r y f u n c t i o n t h a t i s R i e m a n n$ $i n t e g r a b l e i s n o t l e b s g u e i n t e g r a b l e ?$

Question Number 117221 Answers: 3 Comments: 1

∫_(−∞) ^( ∞) ((cos (3x))/(x^2 +4)) dx =?

$\underset{- \infty}{\int^{\infty}} \frac{\cos (3 x)}{x^{2} + 4} d x = ?$

Question Number 117176 Answers: 4 Comments: 1

∫_(π/4) ^(π/2) ((4cot x+1 )/(4−cot x)) dx =?

$\underset{π / 4}{\int^{π / 2}} \frac{4 \cot x + 1}{4 - \cot x} d x = ?$

Question Number 117163 Answers: 2 Comments: 0

∫ ((4 dx)/(x (√(x^2 −1)))) =?

$\int \frac{4 dx}{x \sqrt{x^{2} - 1}} = ?$

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