Question

Fubini's rectangle over unbounded rectangles

score 23 · Answer 1 · 2026-03-28 01:05:49

23

Views

Fubini's rectangle over unbounded rectangles

Published on 28 Mar 2026 - 1:05

score 100 · Answer 2 · 2020-04-13 02:32:19

100

Views

improper integral that neither converges nor diverges?

Published on 13 Apr 2020 - 2:32

score 204 · Answer 3 · 2020-04-13 17:27:16

204

Views

Improper integrals and Dirichlet criterion

Published on 13 Apr 2020 - 17:27

score 572 · Answer 4 · 2020-04-13 20:17:51

572

Views

Prove that $\lim\limits_{x\to\infty}xf(x)=0$ where $f$ is an integrable function over $(0,\infty)$.

Published on 13 Apr 2020 - 20:17

score 48 · Answer 5 · 2020-04-13 23:09:13

48

Views

Using residues to calculate improper integral

Published on 13 Apr 2020 - 23:09

score 502 · Answer 6 · 2026-03-25 16:06:42

502

Views

Does this double integral give 0 or does it diverge?

Published on 25 Mar 2026 - 16:06

score 455 · Answer 7 · 2020-04-14 09:35:13

455

Views

Challenging integral $\int_{0}^{1}\frac{x\operatorname{li}(x)}{x^2+1}dx$

Published on 14 Apr 2020 - 9:35

score 93 · Answer 8 · 2026-03-25 19:51:34

93

Views

Little integral $\int_{0}^{\infty}\ln\Big(\frac{x^2-2x+1}{x^2+2x+1}\Big)e^{-x}dx$ related to the Gompertz constant

Published on 25 Mar 2026 - 19:51

score 140 · Answer 9 · 2026-03-27 13:20:17

140

Views

Nice integral $\int_{0}^{\infty}\ln\Big(\frac{x^3-x^2-x+1}{x^3+x^2+x+1}\Big)\frac{1}{x}dx=-\frac{3\pi^2}{4}$

Published on 27 Mar 2026 - 13:20

score 39 · Answer 10 · 2020-04-14 17:31:28

39

Views

Convergence of $\int_{0}^{\infty}\exp\left ( \frac{1}{2}x-x^\alpha \right )\,\mathrm{d}x$

Published on 14 Apr 2020 - 17:31

score 471 · Answer 11 · 2020-04-14 23:12:56

471

Views

Integral by parts $\int_0^\infty e^{-st}\frac{\sin(t)}{t} dt $

Published on 14 Apr 2020 - 23:12

score 52 · Answer 12 · 2020-04-15 19:39:16

52

Views

show $\int_{1}^{\infty} \frac{1}{\sqrt{x^4-x}} dx$ converges

Published on 15 Apr 2020 - 19:39

score 706 · Answer 13 · 2026-04-05 22:07:52

706

Views

Is the improper Dirichlet integral of $\sin(ax)/x$ from $0$ to infinity uniformly convergent?

Published on 05 Apr 2026 - 22:07

score 94 · Answer 14 · 2026-03-27 15:32:12

94

Views

Approximation for fast oscillating integral

Published on 27 Mar 2026 - 15:32

score 84 · Answer 15 · 2020-04-17 17:00:19

84

Views

How would I integrate the following integral?

Published on 17 Apr 2020 - 17:00

List Question

Fubini's rectangle over unbounded rectangles

improper integral that neither converges nor diverges?

Improper integrals and Dirichlet criterion

Prove that $\lim\limits_{x\to\infty}xf(x)=0$ where $f$ is an integrable function over $(0,\infty)$.

Using residues to calculate improper integral

Does this double integral give 0 or does it diverge?

Challenging integral $\int_{0}^{1}\frac{x\operatorname{li}(x)}{x^2+1}dx$

Little integral $\int_{0}^{\infty}\ln\Big(\frac{x^2-2x+1}{x^2+2x+1}\Big)e^{-x}dx$ related to the Gompertz constant

Nice integral $\int_{0}^{\infty}\ln\Big(\frac{x^3-x^2-x+1}{x^3+x^2+x+1}\Big)\frac{1}{x}dx=-\frac{3\pi^2}{4}$

Convergence of $\int_{0}^{\infty}\exp\left ( \frac{1}{2}x-x^\alpha \right )\,\mathrm{d}x$

Integral by parts $\int_0^\infty e^{-st}\frac{\sin(t)}{t} dt $

show $\int_{1}^{\infty} \frac{1}{\sqrt{x^4-x}} dx$ converges

Is the improper Dirichlet integral of $\sin(ax)/x$ from $0$ to infinity uniformly convergent?

Approximation for fast oscillating integral

How would I integrate the following integral?

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