List questions from complex-integration

Published on 22 Feb 2024 - 15:47

35

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Practical integration along vertical lines

Published on 25 Mar 2026 - 20:07

121

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Branch cut integral $\int_{-1}^1\left(1-x^2\right)^{\frac{1}{2}} d x$

Published on 25 Mar 2026 - 22:04

115

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Integration by parts does not work for this complex integral. Why?

Published on 28 Mar 2026 - 20:52

59

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How to evaluate Lorentz invariant integral with complex parameters

Published on 26 Mar 2026 - 2:53

58

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Understanding how to compute $\int_{0}^{+\infty} \frac{\sin t}{t}dt $ via complex integration.

Published on 27 Mar 2026 - 16:27

23

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Lebesgue Integral on Rough Paths

Published on 06 Mar 2024 - 10:55

25

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Harmonic conjugated functions and simply connected domain in wikipedia

Published on 08 Mar 2024 - 22:04

35

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Verifying Fourier inversion for a rectangular function

Published on 10 Mar 2024 - 18:39

144

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Can contour integration produce mascheroni or Catalan's constant?

Published on 11 Mar 2024 - 12:32

32

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Does being homotopic to $0$ imply being homologous to $0$ or viceversa?

Published on 12 Mar 2024 - 17:38

53

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Integration with residue theorem

Published on 14 Mar 2024 - 14:50

47

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Would the following not be a correct proof of Cauchy's Integral Theorem?

Published on 27 Mar 2026 - 17:52

152

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Closed form for $\int_{-\infty}^{\infty} \frac{\sin(b x)\sin(\sqrt{a+x^2})}{x \sqrt{a+x^2}}$

Published on 16 Mar 2024 - 17:15

13

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Question about the logarithm function in the Argument Principle

Published on 17 Mar 2024 - 2:44

List Question

Is $\int_0^{\pi}\log \sin \theta d\theta$ not well-defined?

Practical integration along vertical lines

Branch cut integral $\int_{-1}^1\left(1-x^2\right)^{\frac{1}{2}} d x$

Integration by parts does not work for this complex integral. Why?

How to evaluate Lorentz invariant integral with complex parameters

Understanding how to compute $\int_{0}^{+\infty} \frac{\sin t}{t}dt $ via complex integration.

Lebesgue Integral on Rough Paths

Harmonic conjugated functions and simply connected domain in wikipedia

Verifying Fourier inversion for a rectangular function

Can contour integration produce mascheroni or Catalan's constant?

Does being homotopic to $0$ imply being homologous to $0$ or viceversa?

Integration with residue theorem

Would the following not be a correct proof of Cauchy's Integral Theorem?

Closed form for $\int_{-\infty}^{\infty} \frac{\sin(b x)\sin(\sqrt{a+x^2})}{x \sqrt{a+x^2}}$

Question about the logarithm function in the Argument Principle

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