Question

$\gamma_j(t)=(-1)^j+\frac{1}{2}\exp(it)$ for $j=1,2$ $\int_{\gamma_1}f(z) \mathrm{d}z + \int_{\gamma_2}f(z) \mathrm{d}z$ on $[0,2\pi]$

score 33 · Answer 1 · 2018-06-07 17:03:10

33

Views

$\gamma_j(t)=(-1)^j+\frac{1}{2}\exp(it)$ for $j=1,2$ $\int_{\gamma_1}f(z) \mathrm{d}z + \int_{\gamma_2}f(z) \mathrm{d}z$ on $[0,2\pi]$

Published on 07 Jun 2018 - 17:03

score 64 · Answer 2 · 2018-06-08 14:49:13

64

Views

$w \mapsto \frac{1}{2i\pi} \int_{\gamma}\frac{1}{z-w}\mathrm{d}z$ from $\mathbb{C} \setminus \gamma([a,b]) \to \mathbb{C}$ is continuous

Published on 08 Jun 2018 - 14:49

score 175 · Answer 3 · 2018-06-13 23:24:45

175

Views

Tried a line integral and then did it using Stokes theorem, but I'm getting different results...

Published on 13 Jun 2018 - 23:24

score 224 · Answer 4 · 2018-06-18 02:58:45

Why isn't the line integral with respect to $x$ plus the line integral with respect to $y$ equal to the line integral with respect to arc length?

score 528 · Answer 5 · 2018-06-20 06:37:29

528

Views

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Published on 20 Jun 2018 - 6:37

score 232 · Answer 6 · 2018-06-27 06:32:05

232

Views

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Published on 27 Jun 2018 - 6:32

score 32 · Answer 7 · 2018-06-27 08:43:19

32

Views

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Published on 27 Jun 2018 - 8:43

score 40 · Answer 8 · 2018-06-27 11:06:29

40

Views

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Published on 27 Jun 2018 - 11:06

score 77 · Answer 9 · 2018-07-01 00:42:43

77

Views

Getting 0 for my non closed a non closed line integral

Published on 01 Jul 2018 - 0:42

score 581 · Answer 10 · 2018-07-01 09:08:23

581

Views

Line Integrals: Why must $\mathbf{v} = \frac{ d\mathbf{r} }{ dt }$ never be zero on the smooth curve $C$?

Published on 01 Jul 2018 - 9:08

score 1.8k · Answer 11 · 2018-07-06 08:01:37

1.8k

Views

The Outward Unit Normal Vectors $\mathbf{n} = \mathbf{k} \times \mathbf{T}$ and $\mathbf{n} = \mathbf{T} \times \mathbf{k}$: Why?

Published on 06 Jul 2018 - 8:01

score 446 · Answer 12 · 2018-07-17 10:50:02

446

Views

Integration of a 1-form

Published on 17 Jul 2018 - 10:50

score 284 · Answer 13 · 2018-07-20 13:42:44

284

Views

Given the union of a cylinder and a sphere calculate the line integral using Stoke's theorem

Published on 20 Jul 2018 - 13:42

score 3.5k · Answer 14 · 2026-03-25 01:17:35

3.5k

Views

Using Green's Theorem to Calculate the Counter-Clockwise Circulation for the Field $\mathbf{F}$ and Curve $C$.

Published on 25 Mar 2026 - 1:17

score 61 · Answer 15 · 2026-03-25 02:57:14

61

Views

Is there a software that solves this equation.

Published on 25 Mar 2026 - 2:57

List Question

$\gamma_j(t)=(-1)^j+\frac{1}{2}\exp(it)$ for $j=1,2$ $\int_{\gamma_1}f(z) \mathrm{d}z + \int_{\gamma_2}f(z) \mathrm{d}z$ on $[0,2\pi]$

$w \mapsto \frac{1}{2i\pi} \int_{\gamma}\frac{1}{z-w}\mathrm{d}z$ from $\mathbb{C} \setminus \gamma([a,b]) \to \mathbb{C}$ is continuous

Tried a line integral and then did it using Stokes theorem, but I'm getting different results...

Why isn't the line integral with respect to $x$ plus the line integral with respect to $y$ equal to the line integral with respect to arc length?

What is a homogeneous curve or a circle?

Evaluating a line integral with a difficult integral?

Evaluating a line integral over a border of a 3D space

Line integral computing methods

Getting 0 for my non closed a non closed line integral

Line Integrals: Why must $\mathbf{v} = \frac{ d\mathbf{r} }{ dt }$ never be zero on the smooth curve $C$?

The Outward Unit Normal Vectors $\mathbf{n} = \mathbf{k} \times \mathbf{T}$ and $\mathbf{n} = \mathbf{T} \times \mathbf{k}$: Why?

Integration of a 1-form

Given the union of a cylinder and a sphere calculate the line integral using Stoke's theorem

Using Green's Theorem to Calculate the Counter-Clockwise Circulation for the Field $\mathbf{F}$ and Curve $C$.

Is there a software that solves this equation.

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