List questions from contour-integration

Published on 11 Apr 2026 - 18:29

95

Views

Show that $\int_{0}^{\infty}\frac{x^2}{1+x^5}dx = \frac{\pi}{5\sin(\frac{2\pi}{5})}$

Published on 15 Apr 2026 - 22:05

582

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An application of Cauchy integral formula with pole on boundary

Published on 07 Apr 2026 - 23:02

79

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Evaluate the integral $\int_{\mathbb{R}}\frac{e^{\gamma x}}{(1+e^x)}dx$.

Published on 17 Apr 2026 - 4:35

515

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Contour integral with logarithm and fraction

Published on 10 Apr 2026 - 7:51

79

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Extension of an integral formula on an open complex subset

Published on 09 Apr 2026 - 0:19

82

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A question on a contour integral in a paper by Hitchin, Karlhede, Lindstrom and Rocek

Published on 14 Apr 2026 - 6:20

292

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How to evaluate $\int\limits_{-\infty}^{\infty}\frac{1}{\sqrt{1+x^4}}dx$?

Published on 26 Mar 2026 - 17:14

53

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Finding a path for an integrals

Published on 08 Apr 2026 - 16:29

59

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Using contour integrals to show this relationship

Published on 14 Apr 2026 - 4:46

36

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Compute the following integral along $y=1/2x^2$

Published on 16 Apr 2026 - 17:07

74

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Find a particular path for Vanishing the integral

Published on 12 Apr 2026 - 18:51

209

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Mistake in contour integration (inverse Laplace transform)

Published on 14 Apr 2026 - 4:09

1.1k

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Complex integral with conjugate as an exponent

Published on 09 Apr 2026 - 11:06

966

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Evaluating an improper integral using complex contour integration

Published on 10 Apr 2026 - 10:39

List Question

Contour integration of a trigonometric function

Show that $\int_{0}^{\infty}\frac{x^2}{1+x^5}dx = \frac{\pi}{5\sin(\frac{2\pi}{5})}$

An application of Cauchy integral formula with pole on boundary

Evaluate the integral $\int_{\mathbb{R}}\frac{e^{\gamma x}}{(1+e^x)}dx$.

Contour integral with logarithm and fraction

Extension of an integral formula on an open complex subset

A question on a contour integral in a paper by Hitchin, Karlhede, Lindstrom and Rocek

How to evaluate $\int\limits_{-\infty}^{\infty}\frac{1}{\sqrt{1+x^4}}dx$?

Finding a path for an integrals

Using contour integrals to show this relationship

Compute the following integral along $y=1/2x^2$

Find a particular path for Vanishing the integral

Mistake in contour integration (inverse Laplace transform)

Complex integral with conjugate as an exponent

Evaluating an improper integral using complex contour integration

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