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IntegrationQuestion and Answers: Page 46

Question Number 164686 Answers: 1 Comments: 0

∫36x^2 (2x+3)^(−7) dx

$\int 36 x^{2} {(2 x + 3)}^{- 7} d x$

Question Number 164685 Answers: 1 Comments: 0

∫4x^2 (1−x)^3 dx

$\int 4 x^{2} {(1 - x)}^{3} d x$

Question Number 164684 Answers: 1 Comments: 0

∫24(2x−1)^(−3) dx

$\int 24 {(2 x - 1)}^{- 3} d x$

Question Number 164683 Answers: 1 Comments: 0

∫(x^2 /((x+7)^4 ))dx

$\int \frac{x^{2}}{{(x + 7)}^{4}} d x$

Question Number 164682 Answers: 1 Comments: 0

∫27x^2 (√(3x−2)) dx

$\int 27 x^{2} \sqrt{3 x - 2} d x$

Question Number 164681 Answers: 1 Comments: 0

∫ (−8x(√(3−2x)) )dx

$\int (- 8 x \sqrt{3 - 2 x}) d x$

Question Number 164672 Answers: 1 Comments: 0

Question Number 164605 Answers: 1 Comments: 0

Question Number 164600 Answers: 3 Comments: 0

Question Number 164598 Answers: 0 Comments: 0

Prove that; ∫_(−∞) ^∞ y tan x + y^3 tan x dx = undefined

$Prove that;$ $\int_{- \infty}^{\infty} y t a n x + y^{3} t a n x d x = u n d e f i n e d$

Question Number 164590 Answers: 1 Comments: 0

∫ ((In(x^2 .e^(cos2) ))/x) dx

$\int \frac{In (x^{2} . e^{c o s 2})}{x} dx$

Question Number 164589 Answers: 0 Comments: 0

∫ A.^5 (√(x^3 )) dx

$\int A .^{5} \sqrt{x^{3}} dx$

Question Number 164582 Answers: 0 Comments: 0

Question Number 164419 Answers: 1 Comments: 0

please help me prouve that ∫_0 ^1 ((lnt)/(t^2 −1))dt=(π^2 /8)

$p l e a s e h e l p m e$ $p r o u v e t h a t \int_{0}^{1} \frac{l n t}{t^{2} - 1} d t = \frac{π^{2}}{8}$

Question Number 164395 Answers: 2 Comments: 0

Question Number 164328 Answers: 2 Comments: 0

solve Σ_(n=0) ^∞ (( cos^(2n) (x))/(n!)) = (e)^(1/4) ■ −−−−−−−

$s o l v e$ $\underset{n = 0}{\sum^{\infty}} \frac{{c o s}^{2 n} (x)}{n!} = \sqrt[4]{e} ◼$ $- - - - - - -$

Question Number 164242 Answers: 0 Comments: 0

Question Number 164231 Answers: 0 Comments: 0

∫_(−∞) ^∞ −(1/3) ∫_0 ^1 ((((^4 log 3.^4 log 6)/( ^4 log 9.^8 log 2+^4 log 9.^8 log 3))/((^9 log 4.^2 log27+^3 log 81)/(^2 log 64−^2 log 8))))dxdy {z.}

$\int_{- \infty}^{\infty} - \frac{1}{3} \int_{0}^{1} (\frac{\frac{^{4} \log 3 .^{4} \log 6}{^{4} \log 9 .^{8} \log 2 +^{4} \log 9 .^{8} \log 3}}{\frac{^{9} \log 4 .^{2} \log 27 +^{3} \log 81}{^{2} \log 64 -^{2} \log 8}}) dxdy$ ${z .}$

Question Number 164211 Answers: 1 Comments: 0

Question Number 164208 Answers: 0 Comments: 0

Question Number 164163 Answers: 2 Comments: 0

Prove the; ∫_(−∞) ^∞ (1/(1 + x^2 )) dx = 𝛑 ^({Z.A})

$Prove the;$ $\int_{- \infty}^{\infty} \frac{1}{1 + x^{2}} d x = π$ $^{{Z . A}}$

Question Number 164162 Answers: 0 Comments: 5

Prove the; (tan 𝛂 + ((cos 𝛂)/(1 + sin 𝛂))) sin 𝛂 = 𝛂 ^([Z.A])

$Prove the;$ $(t a n α + \frac{c o s α}{1 + s i n α}) s i n α = α$ $^{[Z . A]}$

Question Number 164129 Answers: 1 Comments: 0

prove 𝛗= Re (∫_0 ^( 1) Li_( 2) ( (1/x) ) )dx = ζ (2) −−−m.n−−−

$p r o v e$ $ϕ = R e (\int_{0}^{1} {Li}_{2} (\frac{1}{x})) d x = ζ (2)$ $- - - m . n - - -$

Question Number 164123 Answers: 0 Comments: 0

very nice to problem: find in closed form; ∫_0 ^1 log (1−x^2 ) log^(n ) (1−x) dx; n ∈ N^+ ^(z.)

$very nice to problem :$ $f i n d i n c l o s e d f o r m;$ $\int_{0}^{1} l o g (1 - x^{2}) l o g^{n} (1 - x) d x;$ $n \in N^{+}$ $^{z .}$

Question Number 164120 Answers: 0 Comments: 1

How do you all to prove Integral; Prove the; ∫ (((In x)2)/x) dx = (1/3) (In x)^3

$How do you all to prove Integral;$ $P r o v e t h e;$ $\int \frac{(I n x) 2}{x} d x = \frac{1}{3} {(I n x)}^{3}$

Question Number 163954 Answers: 4 Comments: 0

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