List questions from residue-calculus

Published on 10 Mar 2020 - 1:25

163

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Complex integration of real poles of multiplicity 2

Published on 30 Mar 2026 - 0:21

163

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How to compute $\int_0^\infty \frac{\log(2+x^2)}{4+x^2}\,\mathrm dx$

Published on 30 Mar 2026 - 0:24

51

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How to solve this integral (complex variables - green's function)

Published on 26 Mar 2026 - 10:56

109

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Calculate the integral using Residue theorem

Published on 12 Mar 2020 - 16:45

70

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Question related to Weierstrass approximation Theorem

Published on 13 Mar 2020 - 2:49

804

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Complex Analysis integral of $\int_0^\infty \frac{\sin(x)}{x(1+x^2)^2}dx$

Published on 16 Mar 2020 - 12:05

95

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The value of the integral $\oint_{|z|=1}\frac{1}{\sin \left ( e^{\frac{-1}{z}}\right)}$

Published on 26 Mar 2026 - 11:18

317

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Singular points and residue of $\frac{1}{\cos(z^{-2})}$

Published on 17 Mar 2020 - 20:54

47

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Compute $\sum\limits_{n\ge1}\frac{(-1)^{n+1}}{(2n-1)\operatorname{ch}(\frac{(2n-1)\pi}2)}$ with residue theorem

Published on 18 Mar 2020 - 15:00

149

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Residue associated with a double pole

Published on 20 Mar 2020 - 1:17

116

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Evaluate $\int_{0}^{2\pi}\frac{\cos(x)}{a+\cos(x)}dx$

Published on 20 Mar 2020 - 20:25

174

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Bernoulli numbers and a reference in Gamma function chapter

Published on 26 Mar 2026 - 10:57

175

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Solving improper integral involving the absolute-value function using contour integration

Published on 26 Mar 2020 - 9:55

158

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Integrate $\int_0^\infty \frac{\sin x}{x(1+x^2)^2} dx$ with contour integral

Published on 26 Mar 2026 - 12:07

List Question

Evaluating integral using residue calculus

Complex integration of real poles of multiplicity 2

How to compute $\int_0^\infty \frac{\log(2+x^2)}{4+x^2}\,\mathrm dx$

How to solve this integral (complex variables - green's function)

Calculate the integral using Residue theorem

Question related to Weierstrass approximation Theorem

Complex Analysis integral of $\int_0^\infty \frac{\sin(x)}{x(1+x^2)^2}dx$

The value of the integral $\oint_{|z|=1}\frac{1}{\sin \left ( e^{\frac{-1}{z}}\right)}$

Singular points and residue of $\frac{1}{\cos(z^{-2})}$

Compute $\sum\limits_{n\ge1}\frac{(-1)^{n+1}}{(2n-1)\operatorname{ch}(\frac{(2n-1)\pi}2)}$ with residue theorem

Residue associated with a double pole

Evaluate $\int_{0}^{2\pi}\frac{\cos(x)}{a+\cos(x)}dx$

Bernoulli numbers and a reference in Gamma function chapter

Solving improper integral involving the absolute-value function using contour integration

Integrate $\int_0^\infty \frac{\sin x}{x(1+x^2)^2} dx$ with contour integral

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