Question

Calculating a limit of a sequence of integrals that approaches the catalan constant

score 126 · Answer 1 · 2026-03-25 02:31:33

126

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Calculating a limit of a sequence of integrals that approaches the catalan constant

Published on 25 Mar 2026 - 2:31

score 167 · Answer 2 · 2026-04-15 01:26:34

167

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Indefinite integral of $e^{-x^2}$

Published on 15 Apr 2026 - 1:26

score 51 · Answer 3 · 2026-04-12 05:52:38

51

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An improper Riemann integral

Published on 12 Apr 2026 - 5:52

score 108 · Answer 4 · 2026-04-13 14:40:58

108

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Integral of $\sin(x^n)$ in terms of sinus and Gamma function.

Published on 13 Apr 2026 - 14:40

score 60 · Answer 5 · 2026-04-14 05:00:18

60

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Result misses a "-" sign

Published on 14 Apr 2026 - 5:00

score 122 · Answer 6 · 2026-04-14 19:40:55

122

Views

Gamma function (for real z). Confusion to be cleared.

Published on 14 Apr 2026 - 19:40

score 70 · Answer 7 · 2026-04-14 20:04:56

70

Views

How to prove that $\sup|\int_{(0,1)}\ \cos(tx)dt| < \frac{1}{1+n} $?

Published on 14 Apr 2026 - 20:04

score 208 · Answer 8 · 2026-04-15 04:24:48

208

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Calculating the integral $\int_{-\infty}^{\infty} \frac{x^2}{(1 + x^2)^3}dx$

Published on 15 Apr 2026 - 4:24

score 419 · Answer 9 · 2023-04-09 14:37:06

$ \int_{-\infty}^{\infty}\frac{-1}{T}\frac{1}{2(\cosh(\omega/T)+1)}\sqrt{\frac{1+\sqrt{1+(\omega/\Delta)^{2}}}{1+(\omega/\Delta)^{2}}}d\omega$

score 70 · Answer 10 · 2026-04-14 17:44:40

70

Views

does the integral converge? $\int_1^\infty \frac{2 + \cos(x)}{x^{3/2} + 3} $

Published on 14 Apr 2026 - 17:44

score 69 · Answer 11 · 2026-04-14 22:12:23

69

Views

Does the integral $\int_{1}^{\infty} \frac{\operatorname{arctg}(\sqrt{1 + x^{2}})}{x+3}dx$ converge?

Published on 14 Apr 2026 - 22:12

score 45 · Answer 12 · 2026-04-14 20:13:44

45

Views

Check the convergence of $\int_{a}^{b}\frac{dx}{(x-a)^n}$ for different values of $n$

Published on 14 Apr 2026 - 20:13

score 214 · Answer 13 · 2026-04-15 10:20:30

214

Views

Convergence of $\int_1^{+\infty}\sin\left( \frac{\sin(x)}{\sqrt{x}} \right) \frac{dx}{\sqrt{x}}$

Published on 15 Apr 2026 - 10:20

score 58 · Answer 14 · 2026-04-15 05:42:36

58

Views

How do I do this integral which gives 1 or 0 as answer?

Published on 15 Apr 2026 - 5:42

score 185 · Answer 15 · 2026-04-15 00:27:46

185

Views

Show that $ \int_1^{\infty} \frac{\operatorname{li}(x)^2 (x - 1)}{x^4} dx = \frac{5 \pi^2}{36} $

Published on 15 Apr 2026 - 0:27

List Question

Calculating a limit of a sequence of integrals that approaches the catalan constant

Indefinite integral of $e^{-x^2}$

An improper Riemann integral

Integral of $\sin(x^n)$ in terms of sinus and Gamma function.

Result misses a "-" sign

Gamma function (for real z). Confusion to be cleared.

How to prove that $\sup|\int_{(0,1)}\ \cos(tx)dt| < \frac{1}{1+n} $?

Calculating the integral $\int_{-\infty}^{\infty} \frac{x^2}{(1 + x^2)^3}dx$

$ \int_{-\infty}^{\infty}\frac{-1}{T}\frac{1}{2(\cosh(\omega/T)+1)}\sqrt{\frac{1+\sqrt{1+(\omega/\Delta)^{2}}}{1+(\omega/\Delta)^{2}}}d\omega$

does the integral converge? $\int_1^\infty \frac{2 + \cos(x)}{x^{3/2} + 3} $

Does the integral $\int_{1}^{\infty} \frac{\operatorname{arctg}(\sqrt{1 + x^{2}})}{x+3}dx$ converge?

Check the convergence of $\int_{a}^{b}\frac{dx}{(x-a)^n}$ for different values of $n$

Convergence of $\int_1^{+\infty}\sin\left( \frac{\sin(x)}{\sqrt{x}} \right) \frac{dx}{\sqrt{x}}$

How do I do this integral which gives 1 or 0 as answer?

Show that $ \int_1^{\infty} \frac{\operatorname{li}(x)^2 (x - 1)}{x^4} dx = \frac{5 \pi^2}{36} $

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