Question

Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

score 174 · Answer 1 · 2026-04-01 11:04:48

174

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Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Published on 01 Apr 2026 - 11:04

score 66 · Answer 2 · 2026-04-09 21:43:16

66

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Question about Improper Integrals

Published on 09 Apr 2026 - 21:43

score 62 · Answer 3 · 2016-11-16 04:30:10

62

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Evaluating the improper integral $\int_0^\infty \int_0^\infty e^{-(2x+7y)}\mathop{\mathrm dy} \mathop{\mathrm dx} $

Published on 16 Nov 2016 - 4:30

score 4.3k · Answer 4 · 2026-03-26 17:46:19

4.3k

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$I = \int_{0}^\infty t^2 e^{-t^2/2} dt$

Published on 26 Mar 2026 - 17:46

score 49 · Answer 5 · 2026-04-02 18:03:21

49

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Solving partial defferential equations

Published on 02 Apr 2026 - 18:03

score 92 · Answer 6 · 2026-04-10 23:42:02

92

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Value of complex integral

Published on 10 Apr 2026 - 23:42

score 76 · Answer 7 · 2016-11-18 12:38:47

76

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What is the rule saying that $\int_{-2}^2 \frac{1}{x^2-4}\mathrm dx$ diverges?

Published on 18 Nov 2016 - 12:38

score 151 · Answer 8 · 2026-04-10 21:15:09

151

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How to choose contour for computing this particular real integral?

Published on 10 Apr 2026 - 21:15

score 334 · Answer 9 · 2016-11-19 12:28:28

334

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Evaluate $ \int_{0}^{\infty} \frac{1}{x^3+x+1}dx$

Published on 19 Nov 2016 - 12:28

score 376 · Answer 10 · 2026-03-25 19:04:05

376

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Solving an integral involving exponential functions $\int_{-\infty}^{+\infty} \frac{1}{\left(e^x+ e^{-x}\right)^n} e^{-\rho x^2 + a x} dx$

Published on 25 Mar 2026 - 19:04

score 867 · Answer 11 · 2026-04-10 21:44:11

867

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is the improper integral over a bounded and convergent integrand always bounded?

Published on 10 Apr 2026 - 21:44

score 4.2k · Answer 12 · 2016-11-20 01:32:08

4.2k

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Integral of $f(x)$ converges but of $f(x)^2$ diverges?

Published on 20 Nov 2016 - 1:32

score 119 · Answer 13 · 2026-03-25 18:56:25

119

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Improper integral $\int_{1}^{\infty}\frac{\left \{ x \right \}-\frac{1}{2}}{x(\log x+z)}dx$

Published on 25 Mar 2026 - 18:56

score 98 · Answer 14 · 2026-04-11 02:29:45

98

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Difficulty understanding way of evaluating integral

Published on 11 Apr 2026 - 2:29

score 110 · Answer 15 · 2016-11-20 19:31:06

110

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Prove $\int_R^{\infty}\frac{dt}{f^{-1}(t)}=\int_r^{\infty}\frac{f(s)}{s^2}-\frac{R}{r}$

Published on 20 Nov 2016 - 19:31

List Question

Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Question about Improper Integrals

Evaluating the improper integral $\int_0^\infty \int_0^\infty e^{-(2x+7y)}\mathop{\mathrm dy} \mathop{\mathrm dx} $

$I = \int_{0}^\infty t^2 e^{-t^2/2} dt$

Solving partial defferential equations

Value of complex integral

What is the rule saying that $\int_{-2}^2 \frac{1}{x^2-4}\mathrm dx$ diverges?

How to choose contour for computing this particular real integral?

Evaluate $ \int_{0}^{\infty} \frac{1}{x^3+x+1}dx$

Solving an integral involving exponential functions $\int_{-\infty}^{+\infty} \frac{1}{\left(e^x+ e^{-x}\right)^n} e^{-\rho x^2 + a x} dx$

is the improper integral over a bounded and convergent integrand always bounded?

Integral of $f(x)$ converges but of $f(x)^2$ diverges?

Improper integral $\int_{1}^{\infty}\frac{\left \{ x \right \}-\frac{1}{2}}{x(\log x+z)}dx$

Difficulty understanding way of evaluating integral

Prove $\int_R^{\infty}\frac{dt}{f^{-1}(t)}=\int_r^{\infty}\frac{f(s)}{s^2}-\frac{R}{r}$

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