List questions from contour-integration

Published on 25 Mar 2026 - 16:07

118

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Contour integral of $\int_{-\infty}^{\infty}\frac{xdx}{(x-1)^{4}-1}$

Published on 07 Feb 2017 - 20:13

761

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Contour integration of $\int_{0}^{\pi}\tan{(\theta+ia)}d\theta$

Published on 09 Feb 2017 - 0:20

71

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Contour integration of $\int_{0}^{\infty} \frac{\ln{x}}{x^{3 / 4}(1+x)}$

Published on 09 Feb 2017 - 3:44

1.2k

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Contour integral of $\int_{0}^{\infty}\frac{x}{\sinh x}\operatorname{dx}$

Published on 09 Feb 2017 - 4:21

1k

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How to evaluate $PV \int_0^\infty\frac{\cos(\ln x)}{x^2+1}\,dx$?

Published on 09 Feb 2017 - 6:48

122

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How do I solve $\int_{-1}^1 \frac{1}{(x-2)(x+2)\sqrt{1-x^2}} dx$?

Published on 09 Feb 2017 - 19:24

152

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Continuous complex function on open convex set is integrable?

Published on 09 Feb 2017 - 20:45

343

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Improper integral of $\frac{\log\left(\sqrt{x^2+a^2}\right)}{x^2+b^2}$

Published on 25 Mar 2026 - 5:07

398

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How to find $\int_C \frac{z}{2z^2+1}dz$ where $C$ is the unit circle centered at the origin.

Published on 01 Apr 2026 - 6:31

3.4k

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Integrating around a dog bone contour

Published on 13 Feb 2017 - 22:10

74

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Integral $J(\alpha):=\frac{1}{2i\pi}\int_\gamma \frac{\exp(\alpha\cdot z)}{z^2}dz$

Published on 16 Feb 2017 - 17:54

132

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Does $\frac{\ln((z-a)(z-b))}{(z-a)(z-b)}$ have a residue at $z=a$?

Published on 16 Feb 2017 - 20:33

83

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Can anyone help with an improper integral.

Published on 17 Feb 2017 - 15:20

413

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An integral of rational function with third power of cosine hyperbolic function

Published on 18 Feb 2017 - 15:23

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Complex Integral final steps

Contour integral of $\int_{-\infty}^{\infty}\frac{xdx}{(x-1)^{4}-1}$

Contour integration of $\int_{0}^{\pi}\tan{(\theta+ia)}d\theta$

Contour integration of $\int_{0}^{\infty} \frac{\ln{x}}{x^{3 / 4}(1+x)}$

Contour integral of $\int_{0}^{\infty}\frac{x}{\sinh x}\operatorname{dx}$

How to evaluate $PV \int_0^\infty\frac{\cos(\ln x)}{x^2+1}\,dx$?

How do I solve $\int_{-1}^1 \frac{1}{(x-2)(x+2)\sqrt{1-x^2}} dx$?

Continuous complex function on open convex set is integrable?

Improper integral of $\frac{\log\left(\sqrt{x^2+a^2}\right)}{x^2+b^2}$

How to find $\int_C \frac{z}{2z^2+1}dz$ where $C$ is the unit circle centered at the origin.

Integrating around a dog bone contour

Integral $J(\alpha):=\frac{1}{2i\pi}\int_\gamma \frac{\exp(\alpha\cdot z)}{z^2}dz$

Does $\frac{\ln((z-a)(z-b))}{(z-a)(z-b)}$ have a residue at $z=a$?

Can anyone help with an improper integral.

An integral of rational function with third power of cosine hyperbolic function

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