Question

Integral Along Positive Real Axis in the Presence of a Branch Cut: $\int_0^\infty dt \frac{\exp(-t/\alpha)}{(p - bt)^q}$

score 194 · Answer 1 · 2026-03-25 11:21:47

194

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Integral Along Positive Real Axis in the Presence of a Branch Cut: $\int_0^\infty dt \frac{\exp(-t/\alpha)}{(p - bt)^q}$

Published on 25 Mar 2026 - 11:21

score 106 · Answer 2 · 2016-08-27 00:47:05

106

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Choosing the contour for solving the integral $\int_0^\infty\frac{x^{i-1}}{e^x-1}dx$

Published on 27 Aug 2016 - 0:47

score 223 · Answer 3 · 2016-08-27 18:50:45

223

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Does the following contour integral have a closed form solution?

Published on 27 Aug 2016 - 18:50

score 3.4k · Answer 4 · 2026-03-25 14:34:32

3.4k

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Cauchy integral indented contour question: $\int_{-\infty}^\infty \frac{(x+1)^2}{x(x^2+4)^2}dx$

Published on 25 Mar 2026 - 14:34

score 293 · Answer 5 · 2026-03-26 01:10:51

293

Views

A simple exercise on integration by residues and an application of Jordan's lemma

Published on 26 Mar 2026 - 1:10

score 66 · Answer 6 · 2016-08-31 02:05:21

66

Views

How can I solve this integration?

Published on 31 Aug 2016 - 2:05

score 44 · Answer 7 · 2016-08-31 12:51:11

44

Views

Definition of $\oint_{\gamma}\left(f\,{\rm d}x + g\,{\rm d}y\right)$

Published on 31 Aug 2016 - 12:51

score 50 · Answer 8 · 2016-08-31 16:41:26

50

Views

Find the value of the integral $\int_{-i\infty}^{+i\infty}\frac{dq}{2\pi i}\frac{e^{q\lambda}}{\cosh \sqrt{q}-\frac{1}{2}}$

Published on 31 Aug 2016 - 16:41

score 76 · Answer 9 · 2026-04-02 12:57:48

76

Views

Contour integral $\int_{D_{1}}^{}e^{iz {\cosh}u-{\nu}u} du $

Published on 02 Apr 2026 - 12:57

score 153 · Answer 10 · 2026-03-25 18:59:52

153

Views

Contour integral

Published on 25 Mar 2026 - 18:59

score 168 · Answer 11 · 2016-09-04 01:19:55

168

Views

Pole on the contour $\oint_{|z|=3} \frac{(z-1)^2}{(z-2)^2(z-3)} dz$

Published on 04 Sep 2016 - 1:19

score 582 · Answer 12 · 2016-09-06 19:38:45

582

Views

Complex Analysis Integration of x sinmx/ x4 + a4

Published on 06 Sep 2016 - 19:38

score 119 · Answer 13 · 2016-09-08 03:57:09

119

Views

Integral of $\int_{-1}^{1}x^{2n}e^{i k x}$

Published on 08 Sep 2016 - 3:57

score 420 · Answer 14 · 2016-09-09 12:06:11

420

Views

Prove that $\int_{-\infty}^\infty \frac {\sin t \tau}{e^{t/2}-e^{-t/2}}\,dt = \pi \tanh \pi \tau$

Published on 09 Sep 2016 - 12:06

score 84 · Answer 15 · 2016-09-10 08:12:59

84

Views

Choosing an open set without singularities around a curve

Published on 10 Sep 2016 - 8:12

List Question

Integral Along Positive Real Axis in the Presence of a Branch Cut: $\int_0^\infty dt \frac{\exp(-t/\alpha)}{(p - bt)^q}$

Choosing the contour for solving the integral $\int_0^\infty\frac{x^{i-1}}{e^x-1}dx$

Does the following contour integral have a closed form solution?

Cauchy integral indented contour question: $\int_{-\infty}^\infty \frac{(x+1)^2}{x(x^2+4)^2}dx$

A simple exercise on integration by residues and an application of Jordan's lemma

How can I solve this integration?

Definition of $\oint_{\gamma}\left(f\,{\rm d}x + g\,{\rm d}y\right)$

Find the value of the integral $\int_{-i\infty}^{+i\infty}\frac{dq}{2\pi i}\frac{e^{q\lambda}}{\cosh \sqrt{q}-\frac{1}{2}}$

Contour integral $\int_{D_{1}}^{}e^{iz {\cosh}u-{\nu}u} du $

Contour integral

Pole on the contour $\oint_{|z|=3} \frac{(z-1)^2}{(z-2)^2(z-3)} dz$

Complex Analysis Integration of x sinmx/ x4 + a4

Integral of $\int_{-1}^{1}x^{2n}e^{i k x}$

Prove that $\int_{-\infty}^\infty \frac {\sin t \tau}{e^{t/2}-e^{-t/2}}\,dt = \pi \tanh \pi \tau$

Choosing an open set without singularities around a curve

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