Question

Why does $\int_\pi^\infty \frac{2+\cos x} {x}\, \mathrm dx$ diverge

score 71 · Answer 1 · 2026-04-16 00:56:01

71

Views

Why does $\int_\pi^\infty \frac{2+\cos x} {x}\, \mathrm dx$ diverge

Published on 16 Apr 2026 - 0:56

score 187 · Answer 2 · 2026-04-24 01:07:26

187

Views

Expectation value of variance over mean squared, pole in integration

Published on 24 Apr 2026 - 1:07

score 429 · Answer 3 · 2026-04-15 08:29:24

429

Views

Find the values of $\alpha$ for which the integral $\int_0^1(-\ln x)^\alpha$ converges

Published on 15 Apr 2026 - 8:29

score 109 · Answer 4 · 2026-04-12 20:01:24

109

Views

Direct comparison test condition

Published on 12 Apr 2026 - 20:01

score 6.4k · Answer 5 · 2026-04-16 01:38:46

6.4k

Views

Convergence of the integral $\int_0^\infty \frac{\sin^2x}{x^2}~\mathrm dx.$

Published on 16 Apr 2026 - 1:38

score 225 · Answer 6 · 2026-04-17 13:49:03

225

Views

Proving that $\int_0^{\infty} \frac{(3-\sqrt{8}\cos(\log(2)t))Z(t)^2}{t^2+\frac{1}{4}}~dt=\pi \log(2)$ where $Z(t)$ is the Riemann-Siegel Z-function.

Published on 17 Apr 2026 - 13:49

score 74 · Answer 7 · 2026-04-11 16:07:47

74

Views

Integrating a ratio of polynomials $\frac{g(x)}{h(x)}$ on the real line?

Published on 11 Apr 2026 - 16:07

score 80 · Answer 8 · 2026-04-17 07:43:55

80

Views

Does $\int_{3/\pi}^{+\infty}\ln\left(\cos1/t\right)dt$ converge?

Published on 17 Apr 2026 - 7:43

score 161 · Answer 9 · 2026-04-10 22:40:49

161

Views

Does $\int_{-\infty}^{+\infty}te^{-|t|} \, dt$ converge?

Published on 10 Apr 2026 - 22:40

score 210 · Answer 10 · 2026-04-17 13:44:35

210

Views

Does $I= \int_{-\infty}^{\ln2}\frac{e^{-t}}{t^2+1} \, dt$ converge?

Published on 17 Apr 2026 - 13:44

score 211 · Answer 11 · 2026-04-15 19:57:21

211

Views

$\int_0^\infty J_0(ax)e^{-px} dx=\frac{1}{\sqrt{a^2+p^2}}$ without using Laplace transform tables

Published on 15 Apr 2026 - 19:57

score 41 · Answer 12 · 2026-04-14 01:24:55

41

Views

Under which conditions this infinite integral involving a product of an exponential and a zeroth order Bessel function exists?

Published on 14 Apr 2026 - 1:24

score 108 · Answer 13 · 2026-04-16 11:44:04

108

Views

Existence of improper integral $\int_0^\infty \frac{\cos x}{\sqrt{x}+x^3} dx$.

Published on 16 Apr 2026 - 11:44

score 181 · Answer 14 · 2026-04-13 22:13:28

181

Views

Improper convergent integral: differentiation of parameter

Published on 13 Apr 2026 - 22:13

score 109 · Answer 15 · 2026-03-31 10:56:46

109

Views

Doubt about an improper multiple integral

Published on 31 Mar 2026 - 10:56

List Question

Why does $\int_\pi^\infty \frac{2+\cos x} {x}\, \mathrm dx$ diverge

Expectation value of variance over mean squared, pole in integration

Find the values of $\alpha$ for which the integral $\int_0^1(-\ln x)^\alpha$ converges

Direct comparison test condition

Convergence of the integral $\int_0^\infty \frac{\sin^2x}{x^2}~\mathrm dx.$

Proving that $\int_0^{\infty} \frac{(3-\sqrt{8}\cos(\log(2)t))Z(t)^2}{t^2+\frac{1}{4}}~dt=\pi \log(2)$ where $Z(t)$ is the Riemann-Siegel Z-function.

Integrating a ratio of polynomials $\frac{g(x)}{h(x)}$ on the real line?

Does $\int_{3/\pi}^{+\infty}\ln\left(\cos1/t\right)dt$ converge?

Does $\int_{-\infty}^{+\infty}te^{-|t|} \, dt$ converge?

Does $I= \int_{-\infty}^{\ln2}\frac{e^{-t}}{t^2+1} \, dt$ converge?

$\int_0^\infty J_0(ax)e^{-px} dx=\frac{1}{\sqrt{a^2+p^2}}$ without using Laplace transform tables

Under which conditions this infinite integral involving a product of an exponential and a zeroth order Bessel function exists?

Existence of improper integral $\int_0^\infty \frac{\cos x}{\sqrt{x}+x^3} dx$.

Improper convergent integral: differentiation of parameter

Doubt about an improper multiple integral

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