Question

Does the limit of this integrand (product of monotonic functions) exist, given the integral is bounded?

score 54 · Answer 1 · 2026-02-23 10:20:30

54

Views

Does the limit of this integrand (product of monotonic functions) exist, given the integral is bounded?

Published on 23 Feb 2026 - 10:20

score 56 · Answer 2 · 2020-04-19 03:23:57

56

Views

Prove that the integral $\int_{0}^{\infty}\dfrac{a}{\sqrt{2\pi t^{3}}}e^{-\frac{a^{2}}{2t}}dt=1$ for $a>0$.

Published on 19 Apr 2020 - 3:23

score 212 · Answer 3 · 2026-03-26 13:02:47

212

Views

prove that $\int_{0}^{1}\Big(\frac{\operatorname{li}(x)}{x}\Big)^2dx= \frac{\pi^2}{6}$

Published on 26 Mar 2026 - 13:02

score 108 · Answer 4 · 2020-04-19 15:07:45

108

Views

Is this statement about improper integral True? Am I right?

Published on 19 Apr 2020 - 15:07

score 51 · Answer 5 · 2020-04-19 17:57:42

51

Views

Why does this integral diverge?

Published on 19 Apr 2020 - 17:57

score 83 · Answer 6 · 2020-04-19 19:25:25

83

Views

Antiderivative of a combination of exponential and quadratic functions

Published on 19 Apr 2020 - 19:25

score 330 · Answer 7 · 2026-03-26 11:00:53

330

Views

Is there a way to calculate the improper integral of $e^{-x^2}$ without the use of double integrals?

Published on 26 Mar 2026 - 11:00

score 175 · Answer 8 · 2020-04-20 20:34:04

175

Views

Definite integration of trig functions: $\int_{0}^{\infty} \frac{\sin 2020x}{x} \prod_{k=1}^{n} \cos(kx) \, \mathrm d x$

Published on 20 Apr 2020 - 20:34

score 63 · Answer 9 · 2020-04-21 12:10:20

63

Views

If $\int_{1}^{\infty} |f(t)|^{2}\,dt < \infty$, is $\int_{1}^{\infty} \frac{|f(t)|}{\sqrt{t}}\,dt < \infty$?

Published on 21 Apr 2020 - 12:10

score 32 · Answer 10 · 2020-04-21 14:14:41

32

Views

What is the norm of the following function?

Published on 21 Apr 2020 - 14:14

score 66 · Answer 11 · 2020-04-21 18:00:52

66

Views

For which $\alpha$ is $\int_Q \frac{1}{(x^2+2y^2)^{\alpha}}dxdy$ finite, where $Q=[0,1]\times[0,1]$?

Published on 21 Apr 2020 - 18:00

score 438 · Answer 12 · 2026-04-04 08:44:53

438

Views

Convergence of $\int _0^{\pi }\frac{1}{\sqrt{\left|\tan x\right|}}dx$

Published on 04 Apr 2026 - 8:44

score 58 · Answer 13 · 2020-04-22 09:51:35

58

Views

Help to solve two integrals $\int_1^\infty\frac{1}{t\log^2(1+t)}$ $\int_1^\infty\frac{1}{t\log(1+t)}\,dt$

Published on 22 Apr 2020 - 9:51

score 60 · Answer 14 · 2020-04-22 11:57:08

60

Views

Problem : an integral using residue theorem

Published on 22 Apr 2020 - 11:57

score 1k · Answer 15 · 2020-04-22 19:37:26

1k

Views

Ratio of two definite integrals

Published on 22 Apr 2020 - 19:37

List Question

Does the limit of this integrand (product of monotonic functions) exist, given the integral is bounded?

Prove that the integral $\int_{0}^{\infty}\dfrac{a}{\sqrt{2\pi t^{3}}}e^{-\frac{a^{2}}{2t}}dt=1$ for $a>0$.

prove that $\int_{0}^{1}\Big(\frac{\operatorname{li}(x)}{x}\Big)^2dx= \frac{\pi^2}{6}$

Is this statement about improper integral True? Am I right?

Why does this integral diverge?

Antiderivative of a combination of exponential and quadratic functions

Is there a way to calculate the improper integral of $e^{-x^2}$ without the use of double integrals?

Definite integration of trig functions: $\int_{0}^{\infty} \frac{\sin 2020x}{x} \prod_{k=1}^{n} \cos(kx) \, \mathrm d x$

If $\int_{1}^{\infty} |f(t)|^{2}\,dt < \infty$, is $\int_{1}^{\infty} \frac{|f(t)|}{\sqrt{t}}\,dt < \infty$?

What is the norm of the following function?

For which $\alpha$ is $\int_Q \frac{1}{(x^2+2y^2)^{\alpha}}dxdy$ finite, where $Q=[0,1]\times[0,1]$?

Convergence of $\int _0^{\pi }\frac{1}{\sqrt{\left|\tan x\right|}}dx$

Help to solve two integrals $\int_1^\infty\frac{1}{t\log^2(1+t)}$ $\int_1^\infty\frac{1}{t\log(1+t)}\,dt$

Problem : an integral using residue theorem

Ratio of two definite integrals

Trending Questions

Popular # Hahtags

Popular Questions