List questions from contour-integration

Published on 16 Apr 2026 - 19:51

614

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Complex Integration - $\int_{-\infty}^{\infty} \frac{x-1}{x^5-1} dx$

Published on 16 Apr 2026 - 8:46

279

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Trigonometric Improper Integral - $\int_{-\infty}^{\infty} \frac{x\sin ax}{x^2+1}dx$

Published on 16 Apr 2026 - 8:37

382

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$\int_{-\infty}^{\infty} \frac{1}{x^2 +2} \, dx$

Published on 16 Apr 2026 - 8:36

81

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(Complex) circular approximation to $\gamma$ using the zeta-function around $s=1$

Published on 08 Apr 2026 - 19:15

337

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How to calculate the integral $ I= \int_0^{\infty} \frac{t^{a-1}}{t-x} dt$

Published on 15 Apr 2026 - 2:00

44

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Relevant Singularities.

Published on 17 Apr 2026 - 1:28

171

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Calculating integral $\oint\limits_{|z|=4} \frac{\sin^2(z)}{(z-\frac{\pi}{6})^2(z+\frac{\pi}{6})}dz$

Published on 16 Apr 2026 - 10:04

67

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Finding a function in contour integration involving Riemann mapping

Published on 11 Apr 2026 - 0:25

236

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How to Evaluate this Integral of a Green's Function

Published on 09 Apr 2026 - 18:05

52

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Contour integration for inverse cosine

Published on 13 Apr 2026 - 18:38

689

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Show this $\int_0^\infty \frac{t\ln(2\sinh t)}{\left(3t^2+\ln^2(2\sinh t)\right)^2}~dt=0$

Published on 17 Apr 2026 - 2:57

166

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What's wrong with this "proof" that the (contour) integral of the function $f(z)=1/z$ over a circle centered at the origin is $0$?

Published on 13 Apr 2026 - 19:29

33

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Differentiating Line Integrals wrt Contour variable

Published on 12 Apr 2026 - 21:58

172

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Contour integrate $\int_{-\infty}^{\infty} \frac{dt}{t}$

Published on 16 Apr 2026 - 3:53

List Question

Contour integration $ \int_0^\infty \frac{\log x}{1-x^{8}}\,dx\, $

Complex Integration - $\int_{-\infty}^{\infty} \frac{x-1}{x^5-1} dx$

Trigonometric Improper Integral - $\int_{-\infty}^{\infty} \frac{x\sin ax}{x^2+1}dx$

$\int_{-\infty}^{\infty} \frac{1}{x^2 +2} \, dx$

(Complex) circular approximation to $\gamma$ using the zeta-function around $s=1$

How to calculate the integral $ I= \int_0^{\infty} \frac{t^{a-1}}{t-x} dt$

Relevant Singularities.

Calculating integral $\oint\limits_{|z|=4} \frac{\sin^2(z)}{(z-\frac{\pi}{6})^2(z+\frac{\pi}{6})}dz$

Finding a function in contour integration involving Riemann mapping

How to Evaluate this Integral of a Green's Function

Contour integration for inverse cosine

Show this $\int_0^\infty \frac{t\ln(2\sinh t)}{\left(3t^2+\ln^2(2\sinh t)\right)^2}~dt=0$

What's wrong with this "proof" that the (contour) integral of the function $f(z)=1/z$ over a circle centered at the origin is $0$?

Differentiating Line Integrals wrt Contour variable

Contour integrate $\int_{-\infty}^{\infty} \frac{dt}{t}$

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