List questions from residue-calculus

Published on 18 Oct 2014 - 12:37

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how evaluate $\int_0^{\pi}\frac{1}{(a+\cos{\theta})^2}, a>1 $, using residues theorem?

Published on 18 Oct 2014 - 14:00

27

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Singularity and residue in z = 0

Published on 18 Oct 2014 - 17:18

740

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How to calculate $\int\limits_{-\infty}^\infty\frac{e^{ix}}{x}dx$

Published on 26 Mar 2026 - 2:54

124

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Evaluating the integral of $1+z+1/\tan z$ over a circle

Published on 19 Oct 2014 - 22:13

107

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Integral with residues

Published on 20 Oct 2014 - 13:50

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$\tan(z)$ with residue theorem

Published on 20 Oct 2014 - 16:26

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determining a residue by taking a limit

Published on 22 Oct 2014 - 12:57

22

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Apply residue formula 1

Published on 22 Oct 2014 - 21:11

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Find the Residue of $\frac{e^z}{\sin^2(z)}$ at each finite singularity

Published on 23 Oct 2014 - 7:35

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A suitable integration path for $\cos z/(2 + \cos z)$

Published on 23 Oct 2014 - 15:40

21

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Why is the equation $\frac{(z-i)^2}{(z^2+1)^2}=\frac{1}{(z+i)^2} $ in the residue theorem accurate?

Published on 26 Oct 2014 - 9:21

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Integrating $\int_{-\infty}^\infty \frac{1}{1 + x^4}dx$ with the residue theorem

Published on 26 Oct 2014 - 21:25

67

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Are these the correct residues?

Published on 28 Mar 2026 - 20:52

201

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Contour integral using residue

Published on 13 Nov 2014 - 8:34

List Question

Evaluation of real integral by residues

how evaluate $\int_0^{\pi}\frac{1}{(a+\cos{\theta})^2}, a>1 $, using residues theorem?

Singularity and residue in z = 0

How to calculate $\int\limits_{-\infty}^\infty\frac{e^{ix}}{x}dx$

Evaluating the integral of $1+z+1/\tan z$ over a circle

Integral with residues

$\tan(z)$ with residue theorem

determining a residue by taking a limit

Apply residue formula 1

Find the Residue of $\frac{e^z}{\sin^2(z)}$ at each finite singularity

A suitable integration path for $\cos z/(2 + \cos z)$

Why is the equation $\frac{(z-i)^2}{(z^2+1)^2}=\frac{1}{(z+i)^2} $ in the residue theorem accurate?

Integrating $\int_{-\infty}^\infty \frac{1}{1 + x^4}dx$ with the residue theorem

Are these the correct residues?

Contour integral using residue

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