List questions from contour-integration

Published on 31 Mar 2026 - 22:42

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Contour Integral of $\log(z)/(1+z^a)$ where $a\gt1$

Published on 02 Apr 2026 - 20:17

252

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$\int_0^\infty \frac{x^2}{(x^2-4)(x^2-9)}\,\text dx$

Published on 28 Mar 2026 - 21:26

819

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Using Complex Analysis to Compute $\int_0 ^\infty \frac{dx}{x^{1/2}(x^2+1)}$

Published on 11 Apr 2015 - 23:44

513

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Using the residue theorem to evaluate $\sum_\limits{n=-\infty}^{\infty} \frac{e^{in \alpha}}{(n-\beta)^{2}+\gamma^{2}}$

Published on 11 Apr 2015 - 23:54

93

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Simple Residue calculation

Published on 13 Apr 2015 - 16:26

992

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The inverse Laplace transform of $ s^{3/2}-a-bs \over s^{3/2}+a+bs$

Published on 26 Mar 2026 - 6:22

233

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Can $\oint_{|z|=2}z^3 \bar {z} e^\frac{1}{(z-1)} dz$ be solved?

Published on 15 Apr 2015 - 18:53

261

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how to calculate $\int_{0}^{\infty} \frac{\cos(x)}{(1+x^2)^2} dx$

Published on 15 Apr 2015 - 19:54

623

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Contour integration example question

Published on 16 Apr 2015 - 0:45

437

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Contour integration with a branch cut. Parameterizing f(z) properly

Published on 25 Mar 2026 - 9:48

200

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$\int\limits_{\gamma} \frac{1}{z-1}$, $\gamma(\theta) = 2e^{i\theta}$, $0 \leq \theta \leq \frac{\pi}{2}$

Published on 17 Apr 2015 - 0:38

154

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Why is $\int\limits_{\gamma} \frac{1}{z-1} \neq 2\pi i$, $\gamma = \{z : \lvert z \rvert = 1\}$?

Published on 17 Apr 2015 - 1:41

404

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How to use Cauchy's integral formula with more than one pole?

Published on 09 Apr 2026 - 4:11

266

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Compute $\int_{0}^{\infty}\frac{x \log(x)}{(1+x^2)^2}dx$

Published on 17 Apr 2015 - 16:13

List Question

A bessel function integral

Contour Integral of $\log(z)/(1+z^a)$ where $a\gt1$

$\int_0^\infty \frac{x^2}{(x^2-4)(x^2-9)}\,\text dx$

Using Complex Analysis to Compute $\int_0 ^\infty \frac{dx}{x^{1/2}(x^2+1)}$

Using the residue theorem to evaluate $\sum_\limits{n=-\infty}^{\infty} \frac{e^{in \alpha}}{(n-\beta)^{2}+\gamma^{2}}$

Simple Residue calculation

The inverse Laplace transform of $ s^{3/2}-a-bs \over s^{3/2}+a+bs$

Can $\oint_{|z|=2}z^3 \bar {z} e^\frac{1}{(z-1)} dz$ be solved?

how to calculate $\int_{0}^{\infty} \frac{\cos(x)}{(1+x^2)^2} dx$

Contour integration example question

Contour integration with a branch cut. Parameterizing f(z) properly

$\int\limits_{\gamma} \frac{1}{z-1}$, $\gamma(\theta) = 2e^{i\theta}$, $0 \leq \theta \leq \frac{\pi}{2}$

Why is $\int\limits_{\gamma} \frac{1}{z-1} \neq 2\pi i$, $\gamma = \{z : \lvert z \rvert = 1\}$?

How to use Cauchy's integral formula with more than one pole?

Compute $\int_{0}^{\infty}\frac{x \log(x)}{(1+x^2)^2}dx$

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