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 36 · Answer 1 · 2026-04-16 15:17:34

36

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 16 Apr 2026 - 15:17

score 67 · Answer 2 · 2026-04-15 00:12:41

67

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 15 Apr 2026 - 0:12

score 178 · Answer 3 · 2026-04-13 22:20:18

178

Views

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

Published on 13 Apr 2026 - 22:20

score 226 · Answer 4 · 2026-04-14 02:56:23

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score 531 · Answer 5 · 2026-04-14 09:37:58

531

Views

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Published on 14 Apr 2026 - 9:37

score 235 · Answer 6 · 2026-04-14 09:16:08

235

Views

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score 35 · Answer 7 · 2026-04-10 10:39:27

35

Views

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score 46 · Answer 8 · 2026-04-16 20:36:47

46

Views

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score 80 · Answer 9 · 2026-04-13 04:28:14

80

Views

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score 584 · Answer 10 · 2026-04-16 12:36:36

584

Views

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Published on 16 Apr 2026 - 12:36

score 1.8k · Answer 11 · 2026-04-15 14:13:55

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 15 Apr 2026 - 14:13

score 451 · Answer 12 · 2026-04-30 09:08:19

451

Views

Integration of a 1-form

Published on 30 Apr 2026 - 9:08

score 287 · Answer 13 · 2026-04-13 05:28:38

287

Views

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Published on 13 Apr 2026 - 5:28

score 3.5k · Answer 14 · 2026-04-15 08:53:42

3.5k

Views

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Published on 15 Apr 2026 - 8:53

score 63 · Answer 15 · 2026-04-10 16:25:38

63

Views

Is there a software that solves this equation.

Published on 10 Apr 2026 - 16:25

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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