Question

Find : $\int_0^{b}\frac{\ln x}{x^2-1}dx$ where $b>1$

score 103 · Answer 1 · 2026-03-27 07:18:48

103

Views

Find : $\int_0^{b}\frac{\ln x}{x^2-1}dx$ where $b>1$

Published on 27 Mar 2026 - 7:18

score 168 · Answer 2 · 2019-07-04 13:20:53

168

Views

A specific improper integral

Published on 04 Jul 2019 - 13:20

score 124 · Answer 3 · 2026-03-29 10:18:22

124

Views

Improper Integral of a periodic function

Published on 29 Mar 2026 - 10:18

score 248 · Answer 4 · 2019-07-05 13:16:31

248

Views

If $\int_ {0}^ \infty (\frac{ \sin x}{x})^3 = A$, then $\int_ {0}^ \infty \frac{ x- \sin x}{x^3} = ??$

Published on 05 Jul 2019 - 13:16

score 524 · Answer 5 · 2026-03-28 14:06:38

524

Views

Is the integral $\intop_{0}^{\infty}\frac{\cos x}{\sqrt{1+x^{3}}}dx$ absolutely convergent, conditionally convergent or divergent?

Published on 28 Mar 2026 - 14:06

score 1.1k · Answer 6 · 2026-03-27 18:26:38

1.1k

Views

Help in proving, that $\int_{0}^{\infty} \frac{1}{\Gamma(x)} d x=e+\int_{0}^{\infty} \frac{e^{-x}}{\pi^{2}+(\ln x)^{2}} d x$ using real methods only

Published on 27 Mar 2026 - 18:26

score 86 · Answer 7 · 2019-07-07 21:40:52

86

Views

how to prove $\int_{0}^{1} \frac{1-\cos x}{x^{n}}$ converges only for $n < 3$

Published on 07 Jul 2019 - 21:40

score 312 · Answer 8 · 2019-07-08 08:23:13

312

Views

The integral $\int_{0}^{\infty} \frac{\cot^{-1}\sqrt{1+x^2}}{\sqrt{1+x^2}}dx =\frac{\pi}{2}\ln (1+\sqrt{2})$

Published on 08 Jul 2019 - 8:23

score 99 · Answer 9 · 2019-07-09 15:04:55

99

Views

Integrate $\int_{0}^{\infty} (\frac{1}{1-jq}) e^{ \frac{j Nq}{1-jq} x} dx$

Published on 09 Jul 2019 - 15:04

score 146 · Answer 10 · 2019-07-11 19:31:53

146

Views

Integrate $\int_{-\infty}^{\infty} \frac{1}{(1-jt)^{N-1} (1-jat)} e^{-j t x} dt$

Published on 11 Jul 2019 - 19:31

score 39 · Answer 11 · 2019-07-12 03:48:45

39

Views

A Question on the Solution of a This Improper Integral

Published on 12 Jul 2019 - 3:48

score 161 · Answer 12 · 2026-03-27 18:35:45

161

Views

Bromwich Contour Integral related to the Euler Gamma Function

Published on 27 Mar 2026 - 18:35

score 233 · Answer 13 · 2026-03-25 12:52:27

233

Views

Evaluate Gaussian-like integral, which involves an imaginary part

Published on 25 Mar 2026 - 12:52

score 41 · Answer 14 · 2019-07-15 01:47:10

41

Views

Proof that $ \frac{ln{x}}{(x^3-1)} <\frac{x}{x^3} , \forall x \in[2,\infty) $

Published on 15 Jul 2019 - 1:47

score 83 · Answer 15 · 2019-07-15 02:06:41

83

Views

Integral of a sum converges or diverges?

Published on 15 Jul 2019 - 2:06

List Question

Find : $\int_0^{b}\frac{\ln x}{x^2-1}dx$ where $b>1$

A specific improper integral

Improper Integral of a periodic function

If $\int_ {0}^ \infty (\frac{ \sin x}{x})^3 = A$, then $\int_ {0}^ \infty \frac{ x- \sin x}{x^3} = ??$

Is the integral $\intop_{0}^{\infty}\frac{\cos x}{\sqrt{1+x^{3}}}dx$ absolutely convergent, conditionally convergent or divergent?

Help in proving, that $\int_{0}^{\infty} \frac{1}{\Gamma(x)} d x=e+\int_{0}^{\infty} \frac{e^{-x}}{\pi^{2}+(\ln x)^{2}} d x$ using real methods only

how to prove $\int_{0}^{1} \frac{1-\cos x}{x^{n}}$ converges only for $n < 3$

The integral $\int_{0}^{\infty} \frac{\cot^{-1}\sqrt{1+x^2}}{\sqrt{1+x^2}}dx =\frac{\pi}{2}\ln (1+\sqrt{2})$

Integrate $\int_{0}^{\infty} (\frac{1}{1-jq}) e^{ \frac{j Nq}{1-jq} x} dx$

Integrate $\int_{-\infty}^{\infty} \frac{1}{(1-jt)^{N-1} (1-jat)} e^{-j t x} dt$

A Question on the Solution of a This Improper Integral

Bromwich Contour Integral related to the Euler Gamma Function

Evaluate Gaussian-like integral, which involves an imaginary part

Proof that $ \frac{ln{x}}{(x^3-1)} <\frac{x}{x^3} , \forall x \in[2,\infty) $

Integral of a sum converges or diverges?

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