Question

Improper integral parametrised in complex variable: when is it holomorphic?

score 90 · Answer 1 · 2026-04-10 01:15:17

90

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Improper integral parametrised in complex variable: when is it holomorphic?

Published on 10 Apr 2026 - 1:15

score 93 · Answer 2 · 2026-04-11 05:33:13

93

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Fourier transform of $1-\frac{|\tau|}{2T}$

Published on 11 Apr 2026 - 5:33

score 84 · Answer 3 · 2026-04-15 08:37:05

84

Views

For what $(a,b) \in R^+$ does $\int^\infty_b (\sqrt{\sqrt{x+a}-\sqrt{x} \vphantom{\sqrt{x}-\sqrt{x-b}}}-\sqrt{\sqrt{x}-\sqrt{x-b}})dx$ converge?

Published on 15 Apr 2026 - 8:37

score 114 · Answer 4 · 2026-04-11 20:42:19

114

Views

Can this integral diverge?

Published on 11 Apr 2026 - 20:42

score 202 · Answer 5 · 2026-04-13 11:07:15

202

Views

Given the moment generating function of a continuous-type r.v, how to find the p.d.f?

Published on 13 Apr 2026 - 11:07

score 64 · Answer 6 · 2026-04-12 05:46:27

64

Views

Get stuck in judging convergence of a improper integral

Published on 12 Apr 2026 - 5:46

score 48 · Answer 7 · 2026-04-16 02:44:12

48

Views

Can the $p$-test be used to determine convergence of integrals of the form $\int^b_a \frac{1}{(c-f(x))^p}dx$?

Published on 16 Apr 2026 - 2:44

score 167 · Answer 8 · 2026-04-15 22:47:21

167

Views

$\frac{\pi}2 < \sum_0^\infty \frac{1}{1+n^2} < \frac{3\pi}4 $

Published on 15 Apr 2026 - 22:47

score 196 · Answer 9 · 2026-04-14 10:08:08

196

Views

Computing an improper integral with respect to a parameter

Published on 14 Apr 2026 - 10:08

score 996 · Answer 10 · 2026-04-16 10:37:49

996

Views

Solving $\lim_{n\to\infty}(n\int_0^{\pi/4}(\tan x)^ndx)$?

Published on 16 Apr 2026 - 10:37

score 89 · Answer 11 · 2026-04-14 20:12:38

89

Views

Change of variable leads to contradiction for an elementary integral.

Published on 14 Apr 2026 - 20:12

score 81 · Answer 12 · 2026-04-17 10:39:30

81

Views

Trying to find $\int_{0}^{\infty} \frac{c y^2}{1+c y^2}\frac{1}{\sqrt{2 \pi}} e^{-\frac{(y+c)^2}{2}} dy$

Published on 17 Apr 2026 - 10:39

score 268 · Answer 13 · 2026-04-15 14:28:04

268

Views

does $\int_0^\infty \frac{x-\arctan(x)}{x(1+x^2)\arctan(x)} \,dx$ converge

Published on 15 Apr 2026 - 14:28

score 276 · Answer 14 · 2026-04-12 03:11:38

276

Views

Improper Integration of A Non-even Non-odd Function From $0$ to $\infty$

Published on 12 Apr 2026 - 3:11

score 69 · Answer 15 · 2026-04-10 18:29:05

69

Views

bound of integrable function

Published on 10 Apr 2026 - 18:29

List Question

Improper integral parametrised in complex variable: when is it holomorphic?

Fourier transform of $1-\frac{|\tau|}{2T}$

For what $(a,b) \in R^+$ does $\int^\infty_b (\sqrt{\sqrt{x+a}-\sqrt{x} \vphantom{\sqrt{x}-\sqrt{x-b}}}-\sqrt{\sqrt{x}-\sqrt{x-b}})dx$ converge?

Can this integral diverge?

Given the moment generating function of a continuous-type r.v, how to find the p.d.f?

Get stuck in judging convergence of a improper integral

Can the $p$-test be used to determine convergence of integrals of the form $\int^b_a \frac{1}{(c-f(x))^p}dx$?

$\frac{\pi}2 < \sum_0^\infty \frac{1}{1+n^2} < \frac{3\pi}4 $

Computing an improper integral with respect to a parameter

Solving $\lim_{n\to\infty}(n\int_0^{\pi/4}(\tan x)^ndx)$?

Change of variable leads to contradiction for an elementary integral.

Trying to find $\int_{0}^{\infty} \frac{c y^2}{1+c y^2}\frac{1}{\sqrt{2 \pi}} e^{-\frac{(y+c)^2}{2}} dy$

does $\int_0^\infty \frac{x-\arctan(x)}{x(1+x^2)\arctan(x)} \,dx$ converge

Improper Integration of A Non-even Non-odd Function From $0$ to $\infty$

bound of integrable function

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