Question

Are these integrals convergent?

score 73 · Answer 1 · 2026-04-11 08:42:26

73

Views

Are these integrals convergent?

Published on 11 Apr 2026 - 8:42

score 83 · Answer 2 · 2026-04-10 08:02:52

83

Views

Does the integral converge

Published on 10 Apr 2026 - 8:02

score 276 · Answer 3 · 2026-04-16 02:42:30

276

Views

Integrate $\int_0^\infty \frac{e^{-x/\sqrt3}-e^{-x/\sqrt2}}{x}\,\mathrm{d}x$

Published on 16 Apr 2026 - 2:42

score 81 · Answer 4 · 2026-04-17 08:42:40

81

Views

Integral convergence $\int_{2}^{\infty} \frac{\cos x}{\sqrt[3]{\ln x}}$

Published on 17 Apr 2026 - 8:42

score 83 · Answer 5 · 2026-04-16 21:03:39

83

Views

Showing the integral $\int_{\mathbb{R}} \int_{\mathbb{R}} \min\{ 1, (\max \{ |x|,|y| \})^{-3} \} dx dy$ converges

Published on 16 Apr 2026 - 21:03

score 1.6k · Answer 6 · 2026-03-28 05:38:56

1.6k

Views

How was the difference of the Fransén–Robinson constant and Euler's number found?

Published on 28 Mar 2026 - 5:38

score 58 · Answer 7 · 2026-05-05 18:51:10

58

Views

Evaluating a limit of an integral

Published on 05 May 2026 - 18:51

score 89 · Answer 8 · 2026-04-12 16:33:34

89

Views

A closed form of a integral with exp and cos

Published on 12 Apr 2026 - 16:33

score 44 · Answer 9 · 2026-04-17 04:42:02

44

Views

Show that $\int_{1}^{\infty}\frac{x-\left \lfloor x \right \rfloor -\frac{1}{2}}{x^{s+1}}(1-s\log x)\,\mathrm{d}x$ is convergent for $\Re s > -1$

Published on 17 Apr 2026 - 4:42

score 826 · Answer 10 · 2026-04-17 04:29:12

826

Views

Prove $\pi^2\int_0^\infty\frac{x\sin^4\pi x}{\cos\pi x+\cosh\pi x}dx=e^2\int_0^\infty\frac{x\sin^4ex}{\cos ex+\cosh ex}dx=\frac{176}{225}$

Published on 17 Apr 2026 - 4:29

score 57 · Answer 11 · 2026-04-14 18:33:40

57

Views

Doubts concerning to an application of Frullani's theorem to $f_k(x)=\frac{2^{-k^2x}-2^{-(k^2+1)x}}{x}$, and Lebesgue convergence theorems

Published on 14 Apr 2026 - 18:33

score 74 · Answer 12 · 2026-04-16 11:56:00

74

Views

Improper integral $\int_{-\infty}^{\infty} \frac{e^{sx}}{1+e^{x}} dx$

Published on 16 Apr 2026 - 11:56

score 144 · Answer 13 · 2026-04-14 23:04:54

144

Views

Understanding an apparent contradiction from naively applying Taylor's theorem and Fubini's theorem together

Published on 14 Apr 2026 - 23:04

score 266 · Answer 14 · 2026-04-13 11:50:32

266

Views

Using ML inequality

Published on 13 Apr 2026 - 11:50

score 81 · Answer 15 · 2026-04-12 19:20:10

81

Views

Integral with exponential function

Published on 12 Apr 2026 - 19:20

List Question

Are these integrals convergent?

Does the integral converge

Integrate $\int_0^\infty \frac{e^{-x/\sqrt3}-e^{-x/\sqrt2}}{x}\,\mathrm{d}x$

Integral convergence $\int_{2}^{\infty} \frac{\cos x}{\sqrt[3]{\ln x}}$

Showing the integral $\int_{\mathbb{R}} \int_{\mathbb{R}} \min\{ 1, (\max \{ |x|,|y| \})^{-3} \} dx dy$ converges

How was the difference of the Fransén–Robinson constant and Euler's number found?

Evaluating a limit of an integral

A closed form of a integral with exp and cos

Show that $\int_{1}^{\infty}\frac{x-\left \lfloor x \right \rfloor -\frac{1}{2}}{x^{s+1}}(1-s\log x)\,\mathrm{d}x$ is convergent for $\Re s > -1$

Prove $\pi^2\int_0^\infty\frac{x\sin^4\pi x}{\cos\pi x+\cosh\pi x}dx=e^2\int_0^\infty\frac{x\sin^4ex}{\cos ex+\cosh ex}dx=\frac{176}{225}$

Doubts concerning to an application of Frullani's theorem to $f_k(x)=\frac{2^{-k^2x}-2^{-(k^2+1)x}}{x}$, and Lebesgue convergence theorems

Improper integral $\int_{-\infty}^{\infty} \frac{e^{sx}}{1+e^{x}} dx$

Understanding an apparent contradiction from naively applying Taylor's theorem and Fubini's theorem together

Using ML inequality

Integral with exponential function

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