List questions from contour-integration

Published on 02 Jun 2014 - 11:37

101

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Infinitely real-differentiable function with $f(0)=0$ but $\int_{\partial B_1(0)}\frac{f(z)}{z}dz\ne0$

Published on 02 Jun 2014 - 16:22

233

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Evaluate: $\int_{W(-1/\gamma)}^{W(1/\gamma)}\frac{e^{-u} \,\text{d}u}{\sqrt{1-(\gamma u e^{u})^2}}$

Published on 03 Jun 2014 - 15:26

161

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Evaluation of tricky integral

Published on 02 Apr 2026 - 23:27

1.9k

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Best book for learning multiple integrals, line integrals, Green's theorem, etc.

Published on 28 Mar 2026 - 11:12

104

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Compute $\int_{\gamma} x dz$

Published on 30 Mar 2026 - 5:11

86

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Integral / Gamma Expectation

Published on 28 Mar 2026 - 6:09

106

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Finding a definite integral using complex analysis.

Published on 09 Jun 2014 - 1:21

184

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Finding definite integral using contour integration

Published on 09 Jun 2014 - 8:07

76

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Help in understanding contour integration

Published on 09 Jun 2014 - 10:20

148

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Contour Integration: What is the function?

Published on 09 Jun 2014 - 22:28

489

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Contour Integration of this path circling branch point

Published on 28 Mar 2026 - 20:59

552

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Complex integration Question - Contour Method

Published on 28 Mar 2026 - 9:43

75

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A Contour Integral I

Published on 28 Mar 2026 - 9:44

477

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Complex Contour Integration - Complex Analysis: $\int_{0}^{\infty} \frac{dz}{\cosh(z)} = \frac{\pi}{2}$

Published on 12 Jun 2014 - 12:14

List Question

How would Cauchy calculate $\int_{\partial B_1(2i)}\frac{e^{z^2}}{2i-z}dz$?

Infinitely real-differentiable function with $f(0)=0$ but $\int_{\partial B_1(0)}\frac{f(z)}{z}dz\ne0$

Evaluate: $\int_{W(-1/\gamma)}^{W(1/\gamma)}\frac{e^{-u} \,\text{d}u}{\sqrt{1-(\gamma u e^{u})^2}}$

Evaluation of tricky integral

Best book for learning multiple integrals, line integrals, Green's theorem, etc.

Compute $\int_{\gamma} x dz$

Integral / Gamma Expectation

Finding a definite integral using complex analysis.

Finding definite integral using contour integration

Help in understanding contour integration

Contour Integration: What is the function?

Contour Integration of this path circling branch point

Complex integration Question - Contour Method

A Contour Integral I

Complex Contour Integration - Complex Analysis: $\int_{0}^{\infty} \frac{dz}{\cosh(z)} = \frac{\pi}{2}$

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