Question

Evaluating the integral $\int_0^{\infty}\frac{dx}{\sqrt[4]{x}(1+x^2)}$ using Residue Theorem

score 568 · Answer 1 · 2026-03-27 05:58:50

568

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Evaluating the integral $\int_0^{\infty}\frac{dx}{\sqrt[4]{x}(1+x^2)}$ using Residue Theorem

Published on 27 Mar 2026 - 5:58

score 317 · Answer 2 · 2026-03-26 19:02:08

317

Views

How to compute residues for contour integral of matrix?

Published on 26 Mar 2026 - 19:02

score 234 · Answer 3 · 2018-11-10 05:06:22

234

Views

Contour integral over a square

Published on 10 Nov 2018 - 5:06

score 362 · Answer 4 · 2018-11-11 06:34:18

362

Views

Tricky Indented Contour Integral of $\int_{0}^{\infty} \frac{x^{3/4}}{(x^2+1)^2} \ dx$

Published on 11 Nov 2018 - 6:34

score 137 · Answer 5 · 2026-03-29 20:04:51

137

Views

Does the integral $\int_{0}^{\infty} \frac{x^3\,\cos{(x^2-x)}}{1+x^2}$ diverge

Published on 29 Mar 2026 - 20:04

score 54 · Answer 6 · 2026-03-29 10:58:59

54

Views

if $f_n(z)\rightarrow f(z)$ uniformly, then $ \frac{f'_n(z)}{f_n(z)}\rightarrow\frac{f'(z)}{f(z)}$ uniformly?

Published on 29 Mar 2026 - 10:58

score 67 · Answer 7 · 2026-03-25 14:19:57

67

Views

Show that a function is analytic on the punctured complex plane

Published on 25 Mar 2026 - 14:19

score 334 · Answer 8 · 2018-11-13 04:39:20

334

Views

Contour integration - evaluating $\int_{-\infty}^{\infty}\frac{\sin(x)}{x(x^2+1)} \ dx$ around a semi-circle

Published on 13 Nov 2018 - 4:39

score 82 · Answer 9 · 2026-03-29 20:04:35

82

Views

The convergence of an improper integral

Published on 29 Mar 2026 - 20:04

score 283 · Answer 10 · 2026-03-29 02:34:45

283

Views

Considering the work done from two different paths

Published on 29 Mar 2026 - 2:34

score 122 · Answer 11 · 2026-03-25 03:01:50

122

Views

Contour integral with branch points inside argument of logarithm

Published on 25 Mar 2026 - 3:01

score 150 · Answer 12 · 2026-03-24 22:15:44

150

Views

Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

Published on 24 Mar 2026 - 22:15

score 884 · Answer 13 · 2018-11-17 01:04:23

884

Views

Evaluate $\int_\gamma\frac{1}{z}dz$ over a circle outside the origin

Published on 17 Nov 2018 - 1:04

score 832 · Answer 14 · 2018-11-17 15:15:14

832

Views

Evaluating a simple integral with the Cauchy residue theorem and a semicircular contour

Published on 17 Nov 2018 - 15:15

score 34 · Answer 15 · 2018-11-18 05:58:31

34

Views

Evaluation of contour integration help involving exponential and cosh$z$

Published on 18 Nov 2018 - 5:58

List Question

Evaluating the integral $\int_0^{\infty}\frac{dx}{\sqrt[4]{x}(1+x^2)}$ using Residue Theorem

How to compute residues for contour integral of matrix?

Contour integral over a square

Tricky Indented Contour Integral of $\int_{0}^{\infty} \frac{x^{3/4}}{(x^2+1)^2} \ dx$

Does the integral $\int_{0}^{\infty} \frac{x^3\,\cos{(x^2-x)}}{1+x^2}$ diverge

if $f_n(z)\rightarrow f(z)$ uniformly, then $ \frac{f'_n(z)}{f_n(z)}\rightarrow\frac{f'(z)}{f(z)}$ uniformly?

Show that a function is analytic on the punctured complex plane

Contour integration - evaluating $\int_{-\infty}^{\infty}\frac{\sin(x)}{x(x^2+1)} \ dx$ around a semi-circle

The convergence of an improper integral

Considering the work done from two different paths

Contour integral with branch points inside argument of logarithm

Branch cut for $\sqrt{z^2-a^2}$ in the lower half of the complex plane (instead of $[-a,a]$) - How does this change the function?

Evaluate $\int_\gamma\frac{1}{z}dz$ over a circle outside the origin

Evaluating a simple integral with the Cauchy residue theorem and a semicircular contour

Evaluation of contour integration help involving exponential and cosh$z$

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