Question

Evaluating $\int\frac{1}{(2+ \cos( x))^2}dx$ between $[0,2\pi]$ using complex substitute

score 77 · Answer 1 · 2021-11-01 16:23:24

77

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Evaluating $\int\frac{1}{(2+ \cos( x))^2}dx$ between $[0,2\pi]$ using complex substitute

Published on 01 Nov 2021 - 16:23

score 576 · Answer 2 · 2026-04-08 21:01:21

576

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Evaluation of Complex Integral With Figure-eight Contour Using Cauchy Integral Formula

Published on 08 Apr 2026 - 21:01

score 73 · Answer 3 · 2021-11-03 11:47:36

73

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Calculate the integral $\oint_{C(0;2)}\frac{e^{2\pi z}-1}{z(z-i)}dz$

Published on 03 Nov 2021 - 11:47

score 49 · Answer 4 · 2021-11-05 20:17:56

49

Views

Integral over exp(complex polynomial)

Published on 05 Nov 2021 - 20:17

score 302 · Answer 5 · 2026-03-27 04:00:00

302

Views

calculate the integral $\int_{\gamma}^{} \operatorname{Log}^2(z) \,dz$ where $\gamma$ is the given path:

Published on 27 Mar 2026 - 4:00

score 120 · Answer 6 · 2021-11-07 02:38:39

120

Views

Evaluate the complex integral$\oint\tan(z)\,dz$ around various contours C

Published on 07 Nov 2021 - 2:38

score 44 · Answer 7 · 2021-11-07 05:05:06

44

Views

Can be determined these 3 constants such the following integral becomes finite?

Published on 07 Nov 2021 - 5:05

score 1.7k · Answer 8 · 2026-03-26 23:11:04

1.7k

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Find harmonic conjugate $v$ of $u(x,y)$ $=$ $e^{-2xy} \sin(x^2 - y^2) $

Published on 26 Mar 2026 - 23:11

score 88 · Answer 9 · 2026-03-30 00:05:34

88

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Show that $\left | \int _{\gamma}\frac{\sin z}{z^{5}} dz\right |\leq 2\pi e$.

Published on 30 Mar 2026 - 0:05

score 225 · Answer 10 · 2021-11-10 02:38:14

225

Views

Application of Cauchy's integral theorem or Cauchy's integral formula

Published on 10 Nov 2021 - 2:38

score 49 · Answer 11 · 2026-04-08 19:07:18

49

Views

Is it possible to locate a pole of a function given the residue?

Published on 08 Apr 2026 - 19:07

score 39 · Answer 12 · 2021-11-17 14:30:02

39

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(1)f has an antiderivative <-> (2)For every closed path $\gamma$ in $\Omega$ we have $\int_{\gamma}f(z)dz=0$

Published on 17 Nov 2021 - 14:30

score 394 · Answer 13 · 2021-11-18 03:49:25

394

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How calculate $ \int_C \bar {z} ^2dz$ if $C$ is a circle such that $ |z| = 1 $

Published on 18 Nov 2021 - 3:49

score 281 · Answer 14 · 2021-11-19 00:11:00

281

Views

Using complex analysis for evaluating summations: some general queries

Published on 19 Nov 2021 - 0:11

score 319 · Answer 15 · 2021-11-19 16:13:26

319

Views

Finding $\int _{-\infty }^{\infty }\frac{e^x\,dx}{1\:+\:e^{4x}}$ with residue integration

Published on 19 Nov 2021 - 16:13

List Question

Evaluating $\int\frac{1}{(2+ \cos( x))^2}dx$ between $[0,2\pi]$ using complex substitute

Evaluation of Complex Integral With Figure-eight Contour Using Cauchy Integral Formula

Calculate the integral $\oint_{C(0;2)}\frac{e^{2\pi z}-1}{z(z-i)}dz$

Integral over exp(complex polynomial)

calculate the integral $\int_{\gamma}^{} \operatorname{Log}^2(z) \,dz$ where $\gamma$ is the given path:

Evaluate the complex integral$\oint\tan(z)\,dz$ around various contours C

Can be determined these 3 constants such the following integral becomes finite?

Find harmonic conjugate $v$ of $u(x,y)$ $=$ $e^{-2xy} \sin(x^2 - y^2) $

Show that $\left | \int _{\gamma}\frac{\sin z}{z^{5}} dz\right |\leq 2\pi e$.

Application of Cauchy's integral theorem or Cauchy's integral formula

Is it possible to locate a pole of a function given the residue?

(1)f has an antiderivative <-> (2)For every closed path $\gamma$ in $\Omega$ we have $\int_{\gamma}f(z)dz=0$

How calculate $ \int_C \bar {z} ^2dz$ if $C$ is a circle such that $ |z| = 1 $

Using complex analysis for evaluating summations: some general queries

Finding $\int _{-\infty }^{\infty }\frac{e^x\,dx}{1\:+\:e^{4x}}$ with residue integration

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