List questions from contour-integration

Published on 19 Jan 2016 - 10:24

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How to evaluate the integral $\int_{0}^{\infty}\frac{\cos {(ax)}-\cos{(b x)}}{x^2 }dx$?

Published on 19 Jan 2016 - 11:30

306

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Contour integral around 'D-contour'

Published on 19 Jan 2016 - 20:17

695

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I need to solve $\phi (x,y) = \frac{2V}{\pi} \int_{0}^{\infty} \frac{\sin(kx)\cosh(ky) dk}{k\cosh(ka)}$

Published on 01 Apr 2026 - 7:55

136

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Residue of pole

Published on 12 Apr 2026 - 7:08

883

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Contour integration around a closed loop

Published on 20 Jan 2016 - 18:47

1.4k

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Using contour integrals to evaluate sum - Problem calculating residues

Published on 22 Jan 2016 - 9:18

66

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Let $f$ be an arithmetic function of class $C^2$ with $f_{xx}+f_{yy}=0$. Prove that $\oint\vec{F}•\vec{dr}=0$ where $\vec{F}=(f_y,-f_x)$

Published on 22 Jan 2016 - 15:36

144

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Given $\vec{F}=(y,x)$, calculate contour integral $\int_C\vec{F}•\vec{dr}$, on length of closed path $C:\vec{r}(t)=(\cos t, \sin t), 0\leq t\leq2\pi$

Published on 23 Jan 2016 - 18:02

798

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Integral calculation by using Mellin Transform

Published on 05 Apr 2026 - 2:42

504

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how to choose the path for complex line integrals? (Explicit question)

Published on 24 Jan 2016 - 13:46

358

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Contour integral and primitive

Published on 25 Jan 2016 - 12:20

2.1k

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Normalisation of Lorentzian function proof

Published on 25 Jan 2016 - 13:04

166

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express as contour integral $ f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}} $

Published on 26 Mar 2026 - 7:46

144

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Integration: $\int_0^\infty \frac{\sin(at)}{2\cosh 2\pi t-1} \text{ d}t$

Published on 26 Jan 2016 - 18:18

List Question

easier way to find an integral?

How to evaluate the integral $\int_{0}^{\infty}\frac{\cos {(ax)}-\cos{(b x)}}{x^2 }dx$?

Contour integral around 'D-contour'

I need to solve $\phi (x,y) = \frac{2V}{\pi} \int_{0}^{\infty} \frac{\sin(kx)\cosh(ky) dk}{k\cosh(ka)}$

Residue of pole

Contour integration around a closed loop

Using contour integrals to evaluate sum - Problem calculating residues

Let $f$ be an arithmetic function of class $C^2$ with $f_{xx}+f_{yy}=0$. Prove that $\oint\vec{F}•\vec{dr}=0$ where $\vec{F}=(f_y,-f_x)$

Given $\vec{F}=(y,x)$, calculate contour integral $\int_C\vec{F}•\vec{dr}$, on length of closed path $C:\vec{r}(t)=(\cos t, \sin t), 0\leq t\leq2\pi$

Integral calculation by using Mellin Transform

how to choose the path for complex line integrals? (Explicit question)

Contour integral and primitive

Normalisation of Lorentzian function proof

express as contour integral $ f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}} $

Integration: $\int_0^\infty \frac{\sin(at)}{2\cosh 2\pi t-1} \text{ d}t$

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