Question

Match each of the 4 graphs with its contour diagrams

score 2.5k · Answer 1 · 2026-04-16 01:04:40

2.5k

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Match each of the 4 graphs with its contour diagrams

Published on 16 Apr 2026 - 1:04

score 69 · Answer 2 · 2026-04-16 22:04:45

69

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Evaluate $\int_{\lvert z\rvert = 2} \frac{\lvert dz\rvert}{\lvert z-1\rvert^2}$

Published on 16 Apr 2026 - 22:04

score 50 · Answer 3 · 2026-04-15 22:31:52

prove that ${1 \over 2\pi} \int_0^{2\pi} {\lvert {re^{i\theta} \over (1 - re^{i\theta}) ^2}\rvert} d\theta = {r \over 1- r^2}$, where $0 \lt r \lt1$.

score 234 · Answer 4 · 2026-04-16 15:13:15

234

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For $f(x)=\sin(x^2-y^2)$, sketch a picture showing regions in $\mathbb{R}^2$ where the expression is positive or negative.

Published on 16 Apr 2026 - 15:13

score 94 · Answer 5 · 2026-04-15 17:45:05

94

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How to calculate this contour integral $\oint_{|z-3|=2} \frac{\log z}{z+1} dz$

Published on 15 Apr 2026 - 17:45

score 215 · Answer 6 · 2026-04-14 07:50:48

215

Views

Trouble with path independence when finding all possible values of $\int_C \frac{dz}{z^2+1}$

Published on 14 Apr 2026 - 7:50

score 105 · Answer 7 · 2026-04-17 09:41:06

105

Views

Contour Integral of sin θ, cos θ

Published on 17 Apr 2026 - 9:41

score 319 · Answer 8 · 2026-04-09 17:10:08

319

Views

Evaluating a contour integral using Cauchy's generalised integral formula

Published on 09 Apr 2026 - 17:10

score 37 · Answer 9 · 2026-04-12 16:56:34

37

Views

Vanishing countour integral over disk

Published on 12 Apr 2026 - 16:56

score 85 · Answer 10 · 2026-04-09 13:49:12

85

Views

How can I solve this integral using complex anlysis?

Published on 09 Apr 2026 - 13:49

score 100 · Answer 11 · 2026-04-14 18:40:34

100

Views

Evaluation of line integrals not using winding number

Published on 14 Apr 2026 - 18:40

score 96 · Answer 12 · 2026-04-09 18:25:34

96

Views

Is it possible to prove that a function doesn't have an antiderivative?

Published on 09 Apr 2026 - 18:25

score 142 · Answer 13 · 2026-04-12 05:50:45

142

Views

Solution of complicated contour integral

Published on 12 Apr 2026 - 5:50

score 389 · Answer 14 · 2026-04-13 02:44:29

389

Views

Contour integration with essential singularity at infinity

Published on 13 Apr 2026 - 2:44

score 290 · Answer 15 · 2026-04-17 06:19:11

290

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Evaluate $I=\int_0^{\pi}\frac{1}{(1+\frac{1}{2}\cos x)^2}dx$ using contour integration.

Published on 17 Apr 2026 - 6:19

List Question

Match each of the 4 graphs with its contour diagrams

Evaluate $\int_{\lvert z\rvert = 2} \frac{\lvert dz\rvert}{\lvert z-1\rvert^2}$

prove that ${1 \over 2\pi} \int_0^{2\pi} {\lvert {re^{i\theta} \over (1 - re^{i\theta}) ^2}\rvert} d\theta = {r \over 1- r^2}$, where $0 \lt r \lt1$.

For $f(x)=\sin(x^2-y^2)$, sketch a picture showing regions in $\mathbb{R}^2$ where the expression is positive or negative.

How to calculate this contour integral $\oint_{|z-3|=2} \frac{\log z}{z+1} dz$

Trouble with path independence when finding all possible values of $\int_C \frac{dz}{z^2+1}$

Contour Integral of sin θ, cos θ

Evaluating a contour integral using Cauchy's generalised integral formula

Vanishing countour integral over disk

How can I solve this integral using complex anlysis?

Evaluation of line integrals not using winding number

Is it possible to prove that a function doesn't have an antiderivative?

Solution of complicated contour integral

Contour integration with essential singularity at infinity

Evaluate $I=\int_0^{\pi}\frac{1}{(1+\frac{1}{2}\cos x)^2}dx$ using contour integration.

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