Question

Calculating the integral of $\int_{C} \frac{1}{z} dz$ around a circle in complex plane gives iπ

score 64 · Answer 1 · 2021-06-25 14:22:16

64

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Calculating the integral of $\int_{C} \frac{1}{z} dz$ around a circle in complex plane gives iπ

Published on 25 Jun 2021 - 14:22

score 142 · Answer 2 · 2021-06-26 06:15:41

142

Views

Complex integration of $\int_{C} (z^2+3z) dz$ counter clock wise from $(2,0)$ to $(0,2)$ along the curve C:$|z|=2$.

Published on 26 Jun 2021 - 6:15

score 62 · Answer 3 · 2026-03-25 15:10:47

62

Views

getting different answer when using Residue theorem

Published on 25 Mar 2026 - 15:10

score 488 · Answer 4 · 2021-06-28 10:08:38

488

Views

Finding $\int_{-\infty}^\infty \frac{ \cos(x)}{x^4+1}dx$ using residues

Published on 28 Jun 2021 - 10:08

score 59 · Answer 5 · 2021-06-28 18:01:12

59

Views

Evaluating complex integral $\int _{\left|z\right|=2}^{ }\:\frac{e^z}{z-1}dz$ using the residue theorem

Published on 28 Jun 2021 - 18:01

score 53 · Answer 6 · 2021-06-29 08:49:17

53

Views

Compute $\int_{\mathbb{R}}e^{-x^2/(2a)}dx$, where a is complex, without appealing to complex contour integration (one more step left)

Published on 29 Jun 2021 - 8:49

score 50 · Answer 7 · 2021-06-30 08:14:17

50

Views

Calculating the integral $\int_{C(0,3/4)}\frac{\operatorname{Log}(1+z)}{(z-1/2)^3}dz$ using residues theorem

Published on 30 Jun 2021 - 8:14

score 105 · Answer 8 · 2021-07-02 20:28:52

105

Views

Compute $\int_{|z|=1}|z^5-1|^2|dz|$

Published on 02 Jul 2021 - 20:28

score 121 · Answer 9 · 2026-03-28 07:48:20

121

Views

Arc length of $\cos(\ln(x)$) and $\sin(\ln(x))$ in closed form.

Published on 28 Mar 2026 - 7:48

score 581 · Answer 10 · 2021-07-03 16:43:43

581

Views

How to evaluate $\int_0^{\infty}\frac{\arctan{x}}{x^{1/4}(1+x)}\mathrm{d}x$?

Published on 03 Jul 2021 - 16:43

score 113 · Answer 11 · 2021-07-03 23:02:42

113

Views

Estimate improper integral: $\displaystyle{\int_{\gamma}\dfrac{e^{i\,t\,z}}{z^2+1}}$

Published on 03 Jul 2021 - 23:02

score 124 · Answer 12 · 2021-07-09 04:19:16

124

Views

Help in evaluating $\int\limits_{0}^\infty \frac{dx}{x}\frac{ e^{-x \alpha^2}}{\cos(x)}$

Published on 09 Jul 2021 - 4:19

score 70 · Answer 13 · 2021-07-10 14:01:52

70

Views

Argument Principle - from J.Bak and D.Newman textbook

Published on 10 Jul 2021 - 14:01

score 75 · Answer 14 · 2021-07-11 08:38:01

75

Views

Questions about the definition of smooth paths in complex anlaysis

Published on 11 Jul 2021 - 8:38

score 102 · Answer 15 · 2026-03-29 20:20:44

102

Views

$\oint \frac{dz}{z^4 - 1}$ along $|z|=2$ using Cauchy integral formula

Published on 29 Mar 2026 - 20:20

List Question

Calculating the integral of $\int_{C} \frac{1}{z} dz$ around a circle in complex plane gives iπ

Complex integration of $\int_{C} (z^2+3z) dz$ counter clock wise from $(2,0)$ to $(0,2)$ along the curve C:$|z|=2$.

getting different answer when using Residue theorem

Finding $\int_{-\infty}^\infty \frac{ \cos(x)}{x^4+1}dx$ using residues

Evaluating complex integral $\int _{\left|z\right|=2}^{ }\:\frac{e^z}{z-1}dz$ using the residue theorem

Compute $\int_{\mathbb{R}}e^{-x^2/(2a)}dx$, where a is complex, without appealing to complex contour integration (one more step left)

Calculating the integral $\int_{C(0,3/4)}\frac{\operatorname{Log}(1+z)}{(z-1/2)^3}dz$ using residues theorem

Compute $\int_{|z|=1}|z^5-1|^2|dz|$

Arc length of $\cos(\ln(x)$) and $\sin(\ln(x))$ in closed form.

How to evaluate $\int_0^{\infty}\frac{\arctan{x}}{x^{1/4}(1+x)}\mathrm{d}x$?

Estimate improper integral: $\displaystyle{\int_{\gamma}\dfrac{e^{i\,t\,z}}{z^2+1}}$

Help in evaluating $\int\limits_{0}^\infty \frac{dx}{x}\frac{ e^{-x \alpha^2}}{\cos(x)}$

Argument Principle - from J.Bak and D.Newman textbook

Questions about the definition of smooth paths in complex anlaysis

$\oint \frac{dz}{z^4 - 1}$ along $|z|=2$ using Cauchy integral formula

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