Question

Triple Integral Containing Max, Gamma Function Analogy

score 131 · Answer 1 · 2026-03-26 03:10:34

131

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Triple Integral Containing Max, Gamma Function Analogy

Published on 26 Mar 2026 - 3:10

score 158 · Answer 2 · 2018-08-22 16:08:46

158

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Any special way to integrate $\int_{0}^{\infty}t^2\exp(-t)\sin(t)$ quickly?

Published on 22 Aug 2018 - 16:08

score 314 · Answer 3 · 2018-08-22 23:23:26

314

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Evaluate $\int_0^\infty \frac{1}{(x+1)(\pi^2+\ln(x)^2)}dx$

Published on 22 Aug 2018 - 23:23

score 259 · Answer 4 · 2018-08-24 08:32:36

259

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Improper integral $\int_{0}^{\infty}\left(\frac{1}{\sqrt{x^2+4}}-\frac{k}{x+2}\right)\text dx$

Published on 24 Aug 2018 - 8:32

score 103 · Answer 5 · 2018-08-24 11:36:17

103

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Evaluate $\lim_{\mu \to \infty} \int_{\frac{\mu}{2}}^\infty \frac{1}{\sqrt{2\pi}}e^{-\frac{(t-\mu)^2}{2}}dt$

Published on 24 Aug 2018 - 11:36

score 276 · Answer 6 · 2018-08-26 01:29:19

276

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If $\int_0^\infty f(x) dx=0$ , $f(x)$ continuous for $x\in[0,\infty)$, can it be proved that $\lim_{x\to\infty}f(x)=0$?

Published on 26 Aug 2018 - 1:29

score 70 · Answer 7 · 2018-08-26 19:33:48

70

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$F(t)=\int^\infty_0 {x^2}{e^{-tx}} dx$ is a continuous function?

Published on 26 Aug 2018 - 19:33

score 421 · Answer 8 · 2026-03-26 20:37:56

421

Views

Evaluating improper double integral with Lebesgue

Published on 26 Mar 2026 - 20:37

score 149 · Answer 9 · 2026-03-25 17:21:37

149

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How to calculate $\int_{0}^{\pi/2}\dfrac{1}{\sin^3 x + \cos^3 x}dx$

Published on 25 Mar 2026 - 17:21

score 60 · Answer 10 · 2018-08-27 15:15:34

60

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Does this prove that $y={1\over x}$ has no midpoint?

Published on 27 Aug 2018 - 15:15

score 59 · Answer 11 · 2018-08-28 13:52:09

59

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Validity of pdf and mean of Gaussian random variable

Published on 28 Aug 2018 - 13:52

score 95 · Answer 12 · 2018-08-30 21:03:06

95

Views

Substitutions in improper integrals

Published on 30 Aug 2018 - 21:03

score 53 · Answer 13 · 2026-03-26 11:03:16

53

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Fourier Transform of $f(t,\tau, N) = \frac{1}{1 + \big(\frac{t}{\tau}\big)^{2N}}$ over $t$

Published on 26 Mar 2026 - 11:03

score 463 · Answer 14 · 2026-03-23 01:13:25

463

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Generalized Fresnel Integral using Laplace

Published on 23 Mar 2026 - 1:13

score 785 · Answer 15 · 2018-09-03 04:03:47

785

Views

Prove that $\int_0^1\,\frac{\ln(x)}{\sqrt{1-x^2}}\,\text{d}x=-\frac{\pi}{2}\,\ln(2)$.

Published on 03 Sep 2018 - 4:03

List Question

Triple Integral Containing Max, Gamma Function Analogy

Any special way to integrate $\int_{0}^{\infty}t^2\exp(-t)\sin(t)$ quickly?

Evaluate $\int_0^\infty \frac{1}{(x+1)(\pi^2+\ln(x)^2)}dx$

Improper integral $\int_{0}^{\infty}\left(\frac{1}{\sqrt{x^2+4}}-\frac{k}{x+2}\right)\text dx$

Evaluate $\lim_{\mu \to \infty} \int_{\frac{\mu}{2}}^\infty \frac{1}{\sqrt{2\pi}}e^{-\frac{(t-\mu)^2}{2}}dt$

If $\int_0^\infty f(x) dx=0$ , $f(x)$ continuous for $x\in[0,\infty)$, can it be proved that $\lim_{x\to\infty}f(x)=0$?

$F(t)=\int^\infty_0 {x^2}{e^{-tx}} dx$ is a continuous function?

Evaluating improper double integral with Lebesgue

How to calculate $\int_{0}^{\pi/2}\dfrac{1}{\sin^3 x + \cos^3 x}dx$

Does this prove that $y={1\over x}$ has no midpoint?

Validity of pdf and mean of Gaussian random variable

Substitutions in improper integrals

Fourier Transform of $f(t,\tau, N) = \frac{1}{1 + \big(\frac{t}{\tau}\big)^{2N}}$ over $t$

Generalized Fresnel Integral using Laplace

Prove that $\int_0^1\,\frac{\ln(x)}{\sqrt{1-x^2}}\,\text{d}x=-\frac{\pi}{2}\,\ln(2)$.

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