Question

Complex integral of $\frac{\cos x}{x^2+4} $

score 243 · Answer 1 · 2014-06-12 18:41:34

243

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Complex integral of $\frac{\cos x}{x^2+4} $

Published on 12 Jun 2014 - 18:41

score 4.3k · Answer 2 · 2014-06-12 20:33:32

4.3k

Views

Contour integration of $\frac{(\ln z)^2}{z^2+1} $

Published on 12 Jun 2014 - 20:33

score 41 · Answer 3 · 2014-06-13 17:01:42

41

Views

Show that $f(a)=\frac{1} {2\pi}{\int_C {\frac{(R^2-a \overline a)f(z)}{(z-a)(R^2-z \overline a)}dz}}$

Published on 13 Jun 2014 - 17:01

score 598 · Answer 4 · 2014-06-13 17:40:30

598

Views

Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths

Published on 13 Jun 2014 - 17:40

score 1.6k · Answer 5 · 2014-06-14 00:11:11

1.6k

Views

Contour integral of $\int_0^{2\pi} \frac1{A-\cos\theta}\,\mathrm{d}\theta$

Published on 14 Jun 2014 - 0:11

score 78 · Answer 6 · 2014-06-14 11:58:49

78

Views

If $\gamma$ is a path from $0$ to $1$, what do we know about $\displaystyle\int_\gamma\frac{1}{z\pm i}dz$?

Published on 14 Jun 2014 - 11:58

score 306 · Answer 7 · 2014-06-14 22:59:10

306

Views

Complex Integration: $\int_0^{\infty} \frac{\sin x}{x(k^2x^2 +1)} dx $

Published on 14 Jun 2014 - 22:59

score 263 · Answer 8 · 2014-06-15 22:36:22

263

Views

Contour Integral of $\int_0^{\infty} \frac{1}{x^4+1} dx $ - Missing a factor of 2

Published on 15 Jun 2014 - 22:36

score 404 · Answer 9 · 2026-02-23 00:06:37

404

Views

The inverse laplace transform of $p^{-3/2}e^{-\sqrt{pa}}(\cos(\sqrt{ap})+\sin(\sqrt{ap}))$ can be written in Fresnel integrals?

Published on 23 Feb 2026 - 0:06

score 11.9k · Answer 10 · 2026-03-25 01:16:52

11.9k

Views

Integrating $1/\sqrt{z^{2}-1}$ on some contour

Published on 25 Mar 2026 - 1:16

score 63 · Answer 11 · 2014-06-18 06:33:09

63

Views

What is the intuition behind contours and their geometric properties

Published on 18 Jun 2014 - 6:33

score 109 · Answer 12 · 2014-06-19 21:10:24

109

Views

Showing integral on contour tends to zero

Published on 19 Jun 2014 - 21:10

score 174 · Answer 13 · 2026-03-27 19:54:17

174

Views

Contour integral $\int^\pi_{-\pi}(a-\cos\theta)^b\exp(c\cos\theta)d\theta$ assuming $a>1$, $b>0$, $c>0$

Published on 27 Mar 2026 - 19:54

score 4.5k · Answer 14 · 2026-03-30 07:06:04

4.5k

Views

Inverse Laplace with $\ln$

Published on 30 Mar 2026 - 7:06

score 335 · Answer 15 · 2026-03-28 20:49:54

335

Views

Solving contour integral

Published on 28 Mar 2026 - 20:49

List Question

Complex integral of $\frac{\cos x}{x^2+4} $

Contour integration of $\frac{(\ln z)^2}{z^2+1} $

Show that $f(a)=\frac{1} {2\pi}{\int_C {\frac{(R^2-a \overline a)f(z)}{(z-a)(R^2-z \overline a)}dz}}$

Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths

Contour integral of $\int_0^{2\pi} \frac1{A-\cos\theta}\,\mathrm{d}\theta$

If $\gamma$ is a path from $0$ to $1$, what do we know about $\displaystyle\int_\gamma\frac{1}{z\pm i}dz$?

Complex Integration: $\int_0^{\infty} \frac{\sin x}{x(k^2x^2 +1)} dx $

Contour Integral of $\int_0^{\infty} \frac{1}{x^4+1} dx $ - Missing a factor of 2

The inverse laplace transform of $p^{-3/2}e^{-\sqrt{pa}}(\cos(\sqrt{ap})+\sin(\sqrt{ap}))$ can be written in Fresnel integrals?

Integrating $1/\sqrt{z^{2}-1}$ on some contour

What is the intuition behind contours and their geometric properties

Showing integral on contour tends to zero

Contour integral $\int^\pi_{-\pi}(a-\cos\theta)^b\exp(c\cos\theta)d\theta$ assuming $a>1$, $b>0$, $c>0$

Inverse Laplace with $\ln$

Solving contour integral

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