Question

Solving $\int_{-\infty}^{\infty} \frac{x\sin(3x)}{x^4+1}\,dx $ without complex integration

score 608 · Answer 1 · 2020-07-04 17:52:51

608

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Solving $\int_{-\infty}^{\infty} \frac{x\sin(3x)}{x^4+1}\,dx $ without complex integration

Published on 04 Jul 2020 - 17:52

score 31 · Answer 2 · 2026-04-06 09:41:56

31

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Complex integral for $\frac{1}{z-z_0}$ on $γ_R=Re^{it}$, $ t∈[π,2π]$

Published on 06 Apr 2026 - 9:41

score 82 · Answer 3 · 2026-04-01 13:40:24

82

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Evaluating $\int _0^{\infty }e^{x\left(t-p\right)}p^{1-e^{-px}}\:dx$

Published on 01 Apr 2026 - 13:40

score 22 · Answer 4 · 2020-07-05 08:15:52

22

Views

Inequality involving an improper integral

Published on 05 Jul 2020 - 8:15

score 71 · Answer 5 · 2020-07-05 12:27:09

71

Views

Estimate the order of the integral for small enough $\epsilon$

Published on 05 Jul 2020 - 12:27

score 481 · Answer 6 · 2020-07-05 13:59:21

481

Views

Evaluate $\int_0^{\infty} x^2\ln(\sinh x)\operatorname{sech}(3 x){\rm d}x $.

Published on 05 Jul 2020 - 13:59

score 150 · Answer 7 · 2020-07-05 15:35:28

150

Views

Improper integral $\int_{-\infty}^\infty \frac{1}{x^n + 1}$ for $n$ integer, especially $n$ odd

Published on 05 Jul 2020 - 15:35

score 769 · Answer 8 · 2020-07-05 17:23:14

769

Views

An Extended Frullani Integral

Published on 05 Jul 2020 - 17:23

score 210 · Answer 9 · 2026-04-06 12:54:51

210

Views

Determine $\int_{-\infty}^\infty e^{ipx - qx^2} dx$.

Published on 06 Apr 2026 - 12:54

score 156 · Answer 10 · 2020-07-06 01:15:15

156

Views

How can I evaluate $\int _0^1\frac{\tan ^{-1}\left(3\sqrt{\frac{a}{4-a}}\right)}{\sqrt{a}\sqrt{4-a}}\:\mathrm{d}a$

Published on 06 Jul 2020 - 1:15

score 58 · Answer 11 · 2020-07-06 23:24:33

58

Views

General question about convergence of improper integrals

Published on 06 Jul 2020 - 23:24

score 60 · Answer 12 · 2020-07-07 03:10:12

60

Views

Integral of multiplication of two $\iint Q(f(r,\theta ))Q(h(r,\theta )) \,dr\,d\theta $ function?

Published on 07 Jul 2020 - 3:10

score 297 · Answer 13 · 2020-07-07 04:48:21

297

Views

How to find the closed form of $\int _0^{\infty }\frac{\ln \left(x^n+1\right)}{x^n+1}\:\mathrm{d}x$

Published on 07 Jul 2020 - 4:48

score 180 · Answer 14 · 2020-07-07 05:18:04

180

Views

How do you compute $\int_0^{+\infty} \frac{\left| \sin x \right|^3}{x^2} \, \mathrm{d}x$?

Published on 07 Jul 2020 - 5:18

score 90 · Answer 15 · 2020-07-07 08:55:07

90

Views

Suggestions on how to approach the following inetgral

Published on 07 Jul 2020 - 8:55

List Question

Solving $\int_{-\infty}^{\infty} \frac{x\sin(3x)}{x^4+1}\,dx $ without complex integration

Complex integral for $\frac{1}{z-z_0}$ on $γ_R=Re^{it}$, $ t∈[π,2π]$

Evaluating $\int _0^{\infty }e^{x\left(t-p\right)}p^{1-e^{-px}}\:dx$

Inequality involving an improper integral

Estimate the order of the integral for small enough $\epsilon$

Evaluate $\int_0^{\infty} x^2\ln(\sinh x)\operatorname{sech}(3 x){\rm d}x $.

Improper integral $\int_{-\infty}^\infty \frac{1}{x^n + 1}$ for $n$ integer, especially $n$ odd

An Extended Frullani Integral

Determine $\int_{-\infty}^\infty e^{ipx - qx^2} dx$.

How can I evaluate $\int _0^1\frac{\tan ^{-1}\left(3\sqrt{\frac{a}{4-a}}\right)}{\sqrt{a}\sqrt{4-a}}\:\mathrm{d}a$

General question about convergence of improper integrals

Integral of multiplication of two $\iint Q(f(r,\theta ))Q(h(r,\theta )) \,dr\,d\theta $ function?

How to find the closed form of $\int _0^{\infty }\frac{\ln \left(x^n+1\right)}{x^n+1}\:\mathrm{d}x$

How do you compute $\int_0^{+\infty} \frac{\left| \sin x \right|^3}{x^2} \, \mathrm{d}x$?

Suggestions on how to approach the following inetgral

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