List questions from contour-integration

Published on 14 Apr 2026 - 14:19

186

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What's the flaw in my argument?

Published on 26 Mar 2026 - 18:50

247

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How to calculate $\int\limits_{|z-1| = 2}\frac{1}{z} \ dz$ by definition?

Published on 14 Apr 2026 - 13:13

128

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Lack of existence of antiderivative for complex function

Published on 13 Apr 2026 - 4:26

49

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Integral of power series not converging to what it should

Published on 12 Apr 2026 - 2:49

142

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Infinite series $\sum_{k=1}^\infty \frac{k\sin(kx)}{k^2+a^2}$

Published on 14 Apr 2026 - 15:18

64

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$\mathcal L^{-1}\left(\frac 1 s \exp\left(-\sqrt{\frac{as}{s+b}}\right)\right)$ using contour integration. Where a and b are constants.

Published on 16 Apr 2026 - 1:47

210

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What did I miss using the residue theorem?

Published on 25 Mar 2026 - 15:59

1k

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Contour Integration of 1/sin^(2)z dz

Published on 13 Apr 2026 - 18:38

57

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Complex integral with singularities

Published on 10 Apr 2026 - 16:44

12k

Views

integral of exp(1/z) over unit circle

Published on 13 Apr 2026 - 13:02

479

Views

How do I integrate these functions?

Published on 09 Apr 2026 - 4:58

492

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Evaluating a real integral using complex analysis

Published on 09 Apr 2026 - 1:10

320

Views

Argument principle; maybe?

Published on 08 Apr 2026 - 21:46

182

Views

Compute the following integrals of $z^i$

Published on 14 Apr 2026 - 4:54

List Question

Paradoxical result by residue theorem

What's the flaw in my argument?

How to calculate $\int\limits_{|z-1| = 2}\frac{1}{z} \ dz$ by definition?

Lack of existence of antiderivative for complex function

Integral of power series not converging to what it should

Infinite series $\sum_{k=1}^\infty \frac{k\sin(kx)}{k^2+a^2}$

$\mathcal L^{-1}\left(\frac 1 s \exp\left(-\sqrt{\frac{as}{s+b}}\right)\right)$ using contour integration. Where a and b are constants.

What did I miss using the residue theorem?

Contour Integration of 1/sin^(2)z dz

Complex integral with singularities

integral of exp(1/z) over unit circle

How do I integrate these functions?

Evaluating a real integral using complex analysis

Argument principle; maybe?

Compute the following integrals of $z^i$

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