List questions from contour-integration

Published on 13 Jan 2015 - 14:44

277

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How to perform this contour integration with $\log$ in the denominator?

Published on 25 Mar 2026 - 22:03

346

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Complex integral problem - Two different answers! - $\oint_C\frac{dz}{z(2z+1)}$

Published on 15 Jan 2015 - 18:24

1k

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How does a simple elliptic integral solve this monster?

Published on 26 Mar 2026 - 17:29

196

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Integral with contours

Published on 17 Jan 2015 - 21:27

11k

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Pole on a contour. Problem with integration

Published on 19 Jan 2015 - 15:52

172

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Using Residues to calculate $\int_{-\infty}^{\infty} \frac{dx}{(1+x^2)^{n+1}}$

Published on 24 Jan 2015 - 8:14

426

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Integral principal value with $\cos$ and $x^2$

Published on 24 Jan 2015 - 9:22

1.1k

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How to compute $\int_0^{\infty} \frac{\sqrt{x}}{x^2-1}\mathrm dx$

Published on 25 Jan 2015 - 17:24

135

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How to compute the covariance matrix of a random variable uniformly distributed in an ellipsoid

Published on 28 Jan 2015 - 6:00

222

Views

Did I apply correctly the Lebesgue dominated convergence theorem?

Published on 28 Jan 2015 - 15:15

86

Views

Proof some 2 D Fourier transforms

Published on 02 Apr 2026 - 15:23

364

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Principal value of Fourier Integral

Published on 29 Jan 2015 - 23:42

331

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The Laplace transform of the Heaviside function

Published on 06 Apr 2026 - 5:52

655

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Evaluation of integral $\int_{0}^{\infty}\frac{\sin x}{x\left ( 1+x^2 \right )^2}\,{\rm d}x$

Published on 31 Jan 2015 - 15:55

List Question

How to prove $\int_0^1 \frac1{1+x^2}\arctan\sqrt{\frac{1-x^2}2}d x=\pi^2/24$?

How to perform this contour integration with $\log$ in the denominator?

Complex integral problem - Two different answers! - $\oint_C\frac{dz}{z(2z+1)}$

How does a simple elliptic integral solve this monster?

Integral with contours

Pole on a contour. Problem with integration

Using Residues to calculate $\int_{-\infty}^{\infty} \frac{dx}{(1+x^2)^{n+1}}$

Integral principal value with $\cos$ and $x^2$

How to compute $\int_0^{\infty} \frac{\sqrt{x}}{x^2-1}\mathrm dx$

How to compute the covariance matrix of a random variable uniformly distributed in an ellipsoid

Did I apply correctly the Lebesgue dominated convergence theorem?

Proof some 2 D Fourier transforms

Principal value of Fourier Integral

The Laplace transform of the Heaviside function

Evaluation of integral $\int_{0}^{\infty}\frac{\sin x}{x\left ( 1+x^2 \right )^2}\,{\rm d}x$

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