Question and Answers Forum

All Questions Topic List

IntegrationQuestion and Answers: Page 125

Question Number 120285 Answers: 0 Comments: 0

calculate ∫_2 ^∞ (dx/((x^2 −1)^2 (x^2 +x+1)))

$c a l c u l a t e \int_{2}^{\infty} \frac{d x}{{(x^{2} - 1)}^{2} (x^{2} + x + 1)}$

Question Number 120283 Answers: 0 Comments: 0

fond ∫_2 ^∞ ((ln(1+3x^2 ))/(1+x^4 ))dx

$f o n d \int_{2}^{\infty} \frac{l n (1 + 3 x^{2})}{1 + x^{4}} d x$

Question Number 120257 Answers: 2 Comments: 1

∫ ((f ′(x))/(f(x))) =?

$\int \frac{f^{'} (x)}{f (x)} = ?$

Question Number 120254 Answers: 4 Comments: 0

∫ (dx/(1+cosθ.cos x )) ?

$\int \frac{d x}{1 + \cos θ . \cos x} ?$

Question Number 120207 Answers: 0 Comments: 0

Question Number 120109 Answers: 0 Comments: 0

Question Number 120102 Answers: 2 Comments: 0

Θ = ∫ ((4x^(−1) +8x^(−3) )/(x^2 (√(x^4 +2x^2 +2)))) dx

$Θ = \int \frac{4 x^{- 1} + 8 x^{- 3}}{x^{2} \sqrt{x^{4} + 2 x^{2} + 2}} d x$

Question Number 120064 Answers: 1 Comments: 0

I = ∫ _0 ^(π/2) ((1/(ln (tan r))) + (1/(1−tan r)) ) dr

$I = \int \underset{0}{\overset{\frac{π}{2}}{}} (\frac{1}{\ln (\tan r)} + \frac{1}{1 - \tan r}) d r$

Question Number 120060 Answers: 2 Comments: 0

(i) ∫_(−2) ^0 (dx/(2x+3)) (ii)∫_3 ^5 (dx/( (((4−x)^2 ))^(1/3) ))

$(i) \underset{- 2}{\int^{0}} \frac{d x}{2 x + 3}$ $(i i) \underset{3}{\int^{5}} \frac{d x}{\sqrt[3]{{(4 - x)}^{2}}}$

Question Number 120059 Answers: 1 Comments: 0

Question Number 120040 Answers: 2 Comments: 0

∫ (t^5 /( (√(2+t^2 )))) dt

$\int \frac{t^{5}}{\sqrt{2 + t^{2}}} d t$

Question Number 120025 Answers: 2 Comments: 0

calculate f^′ (x) 1) f(x) =∫_0 ^∞ ((cos(xt))/(t^2 +x^2 ))dt 2)f(x)=∫_0 ^∞ ((sin(xt^2 +(√2)))/(t^2 +x^2 +3))dt

$calculate f^{^{'}} (x)$ $1) f (x) = \int_{0}^{\infty} \frac{\cos (xt)}{t^{2} + x^{2}} dt$ $2) f (x) = \int_{0}^{\infty} \frac{\sin ({xt}^{2} + \sqrt{2})}{t^{2} + x^{2} + 3} dt$

Question Number 119989 Answers: 2 Comments: 0

Question Number 119970 Answers: 3 Comments: 0

∫ (dx/(x^2 (√(25−x^2 )))) ?

$\int \frac{d x}{x^{2} \sqrt{25 - x^{2}}} ?$

Question Number 119960 Answers: 1 Comments: 0

Question Number 119934 Answers: 2 Comments: 0

∫ ((sin^8 x−cos^8 x)/(1−(1/2)sin^2 2x)) dx

$\int \frac{\sin^{8} x - \cos^{8} x}{1 - \frac{1}{2} \sin^{2} 2 x} d x$

Question Number 119930 Answers: 1 Comments: 0

Question Number 119920 Answers: 5 Comments: 0

∫ (√((1−x)/(1+x))) dx = ? , xε(−1,1)

$\int \sqrt{\frac{1 - x}{1 + x}} d x = ?, x ϵ (- 1, 1)$

Question Number 119852 Answers: 1 Comments: 0

lim_(n→∞) n^2 ∫ _0 ^(1/n) x^(x+1) dx =?

$\lim_{n \to \infty} n^{2} \int \underset{0}{\overset{\frac{1}{n}}{}} x^{x + 1} d x = ?$

Question Number 119784 Answers: 2 Comments: 0

∫ (dx/( (√((4x−x^2 )^3 ))))

$\int \frac{d x}{\sqrt{{(4 x - x^{2})}^{3}}}$

Question Number 119773 Answers: 3 Comments: 0

∫_(−4) ^4 x^3 (√(16−x^2 )) sec x dx

$\underset{- 4}{\int^{4}} x^{3} \sqrt{16 - x^{2}} \sec x d x$

Question Number 119821 Answers: 3 Comments: 0

∫_(−3) ^0 ((6x−6)/( (√(x^2 −2x+1)))) dx =?

$\underset{- 3}{\int^{0}} \frac{6 x - 6}{\sqrt{x^{2} - 2 x + 1}} d x = ?$

Question Number 119762 Answers: 3 Comments: 0

calculate ∫_0 ^∞ ((x^4 dx)/((2x+1)^5 (3x+1)^8 ))

$calculate \int_{0}^{\infty} \frac{x^{4} dx}{{(2 x + 1)}^{5} {(3 x + 1)}^{8}}$

Question Number 119752 Answers: 1 Comments: 0

find I_λ =∫_0 ^∞ ((ch(1+λcosx))/((x^2 +1)^2 ))dx (λ real >0)

$f i n d I_{λ} = \int_{0}^{\infty} \frac{c h (1 + λ c o s x)}{{(x^{2} + 1)}^{2}} d x$ $(λ r e a l > 0)$

Question Number 119750 Answers: 1 Comments: 0

Π_(k=1) ^(1019) [((2k)/(2k−1))]=?

$\underset{k = 1}{\prod^{1019}} [\frac{2 k}{2 k - 1}] = ?$

Question Number 119696 Answers: 2 Comments: 0

For a<b then ∫_a ^b (x−a)(x−b) dx equal to _

$F o r a < b t h e n \underset{a}{\int^{b}} (x - a) (x - b) d x$ $e q u a l t o_$

Pg 120 Pg 121 Pg 122 Pg 123 Pg 124 Pg 125 Pg 126 Pg 127 Pg 128 Pg 129

Contact: info@tinkutara.com