Question

contour integral z/conjugate(z)

score 675 · Answer 1 · 2026-04-12 14:48:40

675

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contour integral z/conjugate(z)

Published on 12 Apr 2026 - 14:48

score 2.9k · Answer 2 · 2026-04-12 11:02:40

2.9k

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Help, why these are two different results of integral of $\sqrt{z}$ on unit circle depending the choice of Branch cut

Published on 12 Apr 2026 - 11:02

score 504 · Answer 3 · 2016-06-26 19:48:13

504

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How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?

Published on 26 Jun 2016 - 19:48

score 58 · Answer 4 · 2026-04-09 02:52:41

58

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Is this a contour integral question?

Published on 09 Apr 2026 - 2:52

score 151 · Answer 5 · 2016-06-28 01:40:19

151

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Help me to integrate $\int_{-\infty}^{\infty}{\sin^2{x}\over 1+x^2}dx=2\pi-{\pi^2\over 2}$?

Published on 28 Jun 2016 - 1:40

score 421 · Answer 6 · 2026-04-05 04:15:01

421

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Calculating $\int_0^{\infty } \frac{\ln (x)}{\sqrt{x} \left(a^2+x^2\right)^2} \, \mathrm{d}x$ using contour integration

Published on 05 Apr 2026 - 4:15

score 409 · Answer 7 · 2016-06-29 17:38:30

409

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Let C be the circle $|z|=1$. Evaluate $\int_{c}\frac{e^{2\pi z}}{(2z+1)^3}dz.$

Published on 29 Jun 2016 - 17:38

score 453 · Answer 8 · 2016-06-30 21:28:31

453

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Dumbbell Contour? $\int_0^1 \log(x)\log(1-x)dx$ via complex methods.

Published on 30 Jun 2016 - 21:28

score 640 · Answer 9 · 2016-07-01 22:05:22

640

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Compute $\int_{0}^{2\pi}\frac{\sin^2\theta}{5+3\cos\theta}\,d\theta$

Published on 01 Jul 2016 - 22:05

score 1.8k · Answer 10 · 2026-04-05 04:20:25

1.8k

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Compute $\int_{0}^{2\pi}\frac{1}{(2+\cos\theta)^2}\,d\theta$

Published on 05 Apr 2026 - 4:20

score 817 · Answer 11 · 2026-04-09 07:24:35

817

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Application of complex analysis and contour integral in generating functions

Published on 09 Apr 2026 - 7:24

score 543 · Answer 12 · 2016-07-03 20:04:15

543

Views

Find $\int_{0}^{\infty} \sin x^{2}\,dx$

Published on 03 Jul 2016 - 20:04

score 148 · Answer 13 · 2013-03-31 17:57:40

148

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Calculating $\int_{C^+(2,2)} \frac {e^\sqrt z} {(z-2)^2}dz$ and $\int_{0}^{\infty} \frac 1 {1+x \sqrt x}dx$

Published on 31 Mar 2013 - 17:57

score 1.9k · Answer 14 · 2026-04-13 13:30:23

1.9k

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Finding the inverse Laplace transform of $\arctan \left(\frac{1}{s} \right)$using contour integration

Published on 13 Apr 2026 - 13:30

score 220 · Answer 15 · 2013-04-02 18:19:02

220

Views

Evaluating the integral $\int_{-1}^1 \frac{\ln|z-x|}{\sqrt{1-x^2}}\mathrm dx$

Published on 02 Apr 2013 - 18:19

List Question

contour integral z/conjugate(z)

Help, why these are two different results of integral of $\sqrt{z}$ on unit circle depending the choice of Branch cut

How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?

Is this a contour integral question?

Help me to integrate $\int_{-\infty}^{\infty}{\sin^2{x}\over 1+x^2}dx=2\pi-{\pi^2\over 2}$?

Calculating $\int_0^{\infty } \frac{\ln (x)}{\sqrt{x} \left(a^2+x^2\right)^2} \, \mathrm{d}x$ using contour integration

Let C be the circle $|z|=1$. Evaluate $\int_{c}\frac{e^{2\pi z}}{(2z+1)^3}dz.$

Dumbbell Contour? $\int_0^1 \log(x)\log(1-x)dx$ via complex methods.

Compute $\int_{0}^{2\pi}\frac{\sin^2\theta}{5+3\cos\theta}\,d\theta$

Compute $\int_{0}^{2\pi}\frac{1}{(2+\cos\theta)^2}\,d\theta$

Application of complex analysis and contour integral in generating functions

Find $\int_{0}^{\infty} \sin x^{2}\,dx$

Calculating $\int_{C^+(2,2)} \frac {e^\sqrt z} {(z-2)^2}dz$ and $\int_{0}^{\infty} \frac 1 {1+x \sqrt x}dx$

Finding the inverse Laplace transform of $\arctan \left(\frac{1}{s} \right)$using contour integration

Evaluating the integral $\int_{-1}^1 \frac{\ln|z-x|}{\sqrt{1-x^2}}\mathrm dx$

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