Question

finding residue with $\oint_C \frac{3z^3 + 2}{(z-1)(z^2 + 9)} dz$

score 1.1k · Answer 1 · 2026-04-16 14:39:39

1.1k

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finding residue with $\oint_C \frac{3z^3 + 2}{(z-1)(z^2 + 9)} dz$

Published on 16 Apr 2026 - 14:39

score 5k · Answer 2 · 2026-04-17 06:29:55

5k

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Find the value of the contour integral $ \oint \frac {3z^3 + 2}{(z-1)(z^2+9)} dz$

Published on 17 Apr 2026 - 6:29

score 11.6k · Answer 3 · 2026-04-17 14:36:45

11.6k

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

Published on 17 Apr 2026 - 14:36

score 9.4k · Answer 4 · 2026-04-17 13:23:08

9.4k

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integrating $\oint_C \frac{3z^3 + 2}{(z-1)(z^2 + 9)}dz$ on $|z|=4$

Published on 17 Apr 2026 - 13:23

score 267 · Answer 5 · 2026-04-16 16:51:13

267

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Independence of Circular Contour Radius - Part 1

Published on 16 Apr 2026 - 16:51

score 642 · Answer 6 · 2026-04-13 06:35:51

642

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Finding the integral $\int_0^\pi\frac{d\theta}{(2+\cos\theta)^2}$ by complex analysis

Published on 13 Apr 2026 - 6:35

score 139 · Answer 7 · 2026-04-10 17:43:34

139

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inequality and complex integration

Published on 10 Apr 2026 - 17:43

score 181 · Answer 8 · 2026-04-12 00:05:41

181

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Showing that an integral vanishes along an arc of $|z|=R$ as $ R \to \infty$

Published on 12 Apr 2026 - 0:05

score 427 · Answer 9 · 2026-04-11 03:28:32

427

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How do I compute this contour integral estimate using the triangle inequality?

Published on 11 Apr 2026 - 3:28

score 1.7k · Answer 10 · 2026-04-17 08:43:24

1.7k

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Integrating a function with 3 branch points: $\int_{C} z^{a-1} (z+z^{-1})^{b} \, \mathrm dz $

Published on 17 Apr 2026 - 8:43

score 2.1k · Answer 11 · 2026-04-09 09:54:09

2.1k

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Integration of Complex Logarithm

Published on 09 Apr 2026 - 9:54

score 77 · Answer 12 · 2026-04-13 17:41:11

77

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constructing infinitely long path

Published on 13 Apr 2026 - 17:41

score 791 · Answer 13 · 2026-04-15 12:29:41

791

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contour integration on indented path involving branch of the square root

Published on 15 Apr 2026 - 12:29

score 152 · Answer 14 · 2026-04-14 07:49:47

152

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Integrating $ z^{a-1}(z+z^{-1})^{b}$ on the complex plane

Published on 14 Apr 2026 - 7:49

score 1.9k · Answer 15 · 2026-04-15 17:15:41

1.9k

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Cauchy principal value of $\int_{-\infty}^{\infty} \frac{1}{x^{3}} \ dx $

Published on 15 Apr 2026 - 17:15

List Question

finding residue with $\oint_C \frac{3z^3 + 2}{(z-1)(z^2 + 9)} dz$

Find the value of the contour integral $ \oint \frac {3z^3 + 2}{(z-1)(z^2+9)} dz$

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

integrating $\oint_C \frac{3z^3 + 2}{(z-1)(z^2 + 9)}dz$ on $|z|=4$

Independence of Circular Contour Radius - Part 1

Finding the integral $\int_0^\pi\frac{d\theta}{(2+\cos\theta)^2}$ by complex analysis

inequality and complex integration

Showing that an integral vanishes along an arc of $|z|=R$ as $ R \to \infty$

How do I compute this contour integral estimate using the triangle inequality?

Integrating a function with 3 branch points: $\int_{C} z^{a-1} (z+z^{-1})^{b} \, \mathrm dz $

Integration of Complex Logarithm

constructing infinitely long path

contour integration on indented path involving branch of the square root

Integrating $ z^{a-1}(z+z^{-1})^{b}$ on the complex plane

Cauchy principal value of $\int_{-\infty}^{\infty} \frac{1}{x^{3}} \ dx $

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