List questions from complex-integration

Published on 24 Feb 2026 - 5:07

227

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How to understand complex (line) integral?

Published on 08 Apr 2026 - 16:57

26

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How the following equality true?

Published on 09 Apr 2026 - 3:26

482

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Evaluate the following Contour Integral: $\int_C\frac{dz}{z^4+1}$ where $C$ is the circle $x^2+y^2=2x$

Published on 30 Apr 2022 - 17:40

150

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Apparent complex integration paradox

Published on 08 Apr 2026 - 22:28

54

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surface integrals in the complex plane in polar form

Published on 10 Apr 2026 - 6:35

81

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Integrate $\frac{x^b\ln x}{1+x}$

Published on 02 May 2022 - 9:33

82

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Is this relation correct? How do I get there?

Published on 06 Apr 2026 - 5:13

39

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Is the Cauchy's Theorem valid for a path with multiple points?

Published on 08 Apr 2026 - 22:30

90

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Can I apply Fubini's theorem to prove that this function is holomorphic?

Published on 31 Mar 2026 - 12:52

72

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Laurent series of this function

Published on 03 Apr 2026 - 22:26

348

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Laurent series of $e^z$

Published on 03 Apr 2026 - 22:27

24

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Convergence conditions of the integral $\int_{-\infty}^{\infty} \frac{e^{cx}}{1+e^{x}} dx$.

Published on 17 May 2022 - 20:04

289

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Why do we use exponentials while integrating trigonometric functions in complex analysis

Published on 26 Mar 2026 - 19:24

196

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Winding number of an ellipse $\gamma$ at $0$ using $\omega(\gamma,0)=\frac{1}{2i\pi}\oint_{\gamma}\frac{1}{z}dz$?

Published on 19 May 2022 - 9:08

List Question

Integrate $\int^\infty_0 \dfrac{\sin x}{x^3}\,dx$

How to understand complex (line) integral?

How the following equality true?

Evaluate the following Contour Integral: $\int_C\frac{dz}{z^4+1}$ where $C$ is the circle $x^2+y^2=2x$

Apparent complex integration paradox

surface integrals in the complex plane in polar form

Integrate $\frac{x^b\ln x}{1+x}$

Is this relation correct? How do I get there?

Is the Cauchy's Theorem valid for a path with multiple points?

Can I apply Fubini's theorem to prove that this function is holomorphic?

Laurent series of this function

Laurent series of $e^z$

Convergence conditions of the integral $\int_{-\infty}^{\infty} \frac{e^{cx}}{1+e^{x}} dx$.

Why do we use exponentials while integrating trigonometric functions in complex analysis

Winding number of an ellipse $\gamma$ at $0$ using $\omega(\gamma,0)=\frac{1}{2i\pi}\oint_{\gamma}\frac{1}{z}dz$?

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