Question

Asymptotics of inverse Laplace transform of a function with an essential singularity?

score 201 · Answer 1 · 2026-03-31 22:49:23

201

Views

Asymptotics of inverse Laplace transform of a function with an essential singularity?

Published on 31 Mar 2026 - 22:49

score 219 · Answer 2 · 2014-10-31 11:22:03

219

Views

Finding the closed form of $\int_0^1 \frac{(1-x+x\log x)\operatorname{Li}_3(x)}{x(x-1) \log x} \ dx$

Published on 31 Oct 2014 - 11:22

score 614 · Answer 3 · 2026-03-27 00:09:30

614

Views

A Mathematical Coincidence, or more?

Published on 27 Mar 2026 - 0:09

score 60 · Answer 4 · 2014-10-31 21:08:46

60

Views

Am I doing something wrong with this improper integral?

Published on 31 Oct 2014 - 21:08

score 179 · Answer 5 · 2014-11-01 10:35:59

179

Views

Finding a double integral $\int_1^\infty\int_0^\infty\frac{1}{(x^3+y^3)^3}\mathrm{d}x\ \mathrm{d}y=\frac{10\pi}{189\sqrt3}$

Published on 01 Nov 2014 - 10:35

score 968 · Answer 6 · 2014-11-01 14:54:59

968

Views

Prove $\int_0^1\frac{\ln2-\ln\left(1+x^2\right)}{1-x}\,dx=\frac{5\pi^2}{48}-\frac{\ln^22}{4}$

Published on 01 Nov 2014 - 14:54

score 292 · Answer 7 · 2014-11-01 18:27:49

292

Views

Show $\int_0^\infty f\left(x+\frac{1}{x}\right)\,\frac{\ln x}{x}\,dx=0$ if $f(x)$ is a bounded non-negative function

Published on 01 Nov 2014 - 18:27

score 112 · Answer 8 · 2014-11-02 04:54:23

112

Views

Finding $\int_{1}^{\infty} \frac{x 3^x}{(3^x-1)^2}$

Published on 02 Nov 2014 - 4:54

score 124 · Answer 9 · 2014-11-02 07:23:09

124

Views

Show that $\int_0^{\infty}\frac{\ln x}{1+x^2}\hspace{1mm}dx=0$

Published on 02 Nov 2014 - 7:23

score 372 · Answer 10 · 2014-11-02 18:14:40

372

Views

Finding $\int\limits_1^\infty \frac{\sin^4(\log x)}{x^2 \log x} \mathrm{d}x$

Published on 02 Nov 2014 - 18:14

score 1.7k · Answer 11 · 2014-11-02 19:23:34

1.7k

Views

CDF, PDF, and integral with respect to a function

Published on 02 Nov 2014 - 19:23

score 137 · Answer 12 · 2026-03-27 01:47:44

137

Views

Show that $\int_0^r \frac{\mathrm{d}t}{\sqrt{r^2 - t^2}} $ is independent of $r$

Published on 27 Mar 2026 - 1:47

score 160 · Answer 13 · 2026-03-28 17:05:30

160

Views

Proof about Simple random walk in $\mathbb{R}^{d}$

Published on 28 Mar 2026 - 17:05

score 646 · Answer 14 · 2014-11-04 15:28:46

646

Views

Finding $\int_{0}^{\pi/2} \frac{\tan x}{1+m^2\tan^2{x}} \mathrm{d}x$

Published on 04 Nov 2014 - 15:28

score 8.1k · Answer 15 · 2026-03-31 05:41:21

8.1k

Views

converting improper double integrals to polar form: what do I do with infinity limits

Published on 31 Mar 2026 - 5:41

List Question

Asymptotics of inverse Laplace transform of a function with an essential singularity?

Finding the closed form of $\int_0^1 \frac{(1-x+x\log x)\operatorname{Li}_3(x)}{x(x-1) \log x} \ dx$

A Mathematical Coincidence, or more?

Am I doing something wrong with this improper integral?

Finding a double integral $\int_1^\infty\int_0^\infty\frac{1}{(x^3+y^3)^3}\mathrm{d}x\ \mathrm{d}y=\frac{10\pi}{189\sqrt3}$

Prove $\int_0^1\frac{\ln2-\ln\left(1+x^2\right)}{1-x}\,dx=\frac{5\pi^2}{48}-\frac{\ln^22}{4}$

Show $\int_0^\infty f\left(x+\frac{1}{x}\right)\,\frac{\ln x}{x}\,dx=0$ if $f(x)$ is a bounded non-negative function

Finding $\int_{1}^{\infty} \frac{x 3^x}{(3^x-1)^2}$

Show that $\int_0^{\infty}\frac{\ln x}{1+x^2}\hspace{1mm}dx=0$

Finding $\int\limits_1^\infty \frac{\sin^4(\log x)}{x^2 \log x} \mathrm{d}x$

CDF, PDF, and integral with respect to a function

Show that $\int_0^r \frac{\mathrm{d}t}{\sqrt{r^2 - t^2}} $ is independent of $r$

Proof about Simple random walk in $\mathbb{R}^{d}$

Finding $\int_{0}^{\pi/2} \frac{\tan x}{1+m^2\tan^2{x}} \mathrm{d}x$

converting improper double integrals to polar form: what do I do with infinity limits

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