List questions from contour-integration

Published on 27 Mar 2026 - 20:13

101

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Does $\frac{z^2}{(z^2-1)^{\frac{1}{2}}}$ have a simple pole at $\infty$?

Published on 27 Mar 2026 - 1:47

1.4k

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How to work out $\int^{2\pi}_0\frac{1}{3+2\cos\theta+\sin\theta}\,d\theta$ using contour integration?

Published on 27 Mar 2026 - 20:21

56

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Evaluate the Contour Integral around curve

Published on 18 Jun 2019 - 19:25

182

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Compute $\oint_{|z|=r}z^2 \sin(\bar z)dz$

Published on 27 Mar 2026 - 21:59

174

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How to choose a correct contour

Published on 29 Mar 2026 - 3:21

258

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Calculate $\int_0^\pi\log\sin\theta \,d\theta$ using contour integration only

Published on 27 Mar 2026 - 20:20

89

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Integral by the residue theorem

Published on 28 Mar 2026 - 1:25

62

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Evaluate $ \int_{-\infty}^{\infty} \frac{\exp(iwx)}{x^2-2x\cos(\theta) +1} dx $

Published on 27 Mar 2026 - 21:57

143

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How to integrate $\int_0^{\infty} \frac{\sin(x^{-p})}{x^2}dx$ where $p>1$?

Published on 27 Mar 2026 - 18:28

145

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How can a point be deformed to a loop?

Published on 26 Jun 2019 - 18:12

234

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How to deform a loop into the same loop traversed twice

Published on 26 Jun 2019 - 18:51

34

Views

doubt about contourn of residue theorem

Published on 26 Jun 2019 - 20:36

132

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$2f'(0) = \frac{1}{2\pi i} \int_{|z|=r}\frac{f(z)-f(-z)}{z^2} dz$

Published on 27 Jun 2019 - 19:25

428

Views

Compute the integral $\int_0^1 \frac{x^4}{\sqrt{x(1-x)}}dx$ using residue

Published on 29 Jun 2019 - 1:39

List Question

Confusion over Cauchy's Theorem.

Does $\frac{z^2}{(z^2-1)^{\frac{1}{2}}}$ have a simple pole at $\infty$?

How to work out $\int^{2\pi}_0\frac{1}{3+2\cos\theta+\sin\theta}\,d\theta$ using contour integration?

Evaluate the Contour Integral around curve

Compute $\oint_{|z|=r}z^2 \sin(\bar z)dz$

How to choose a correct contour

Calculate $\int_0^\pi\log\sin\theta \,d\theta$ using contour integration only

Integral by the residue theorem

Evaluate $ \int_{-\infty}^{\infty} \frac{\exp(iwx)}{x^2-2x\cos(\theta) +1} dx $

How to integrate $\int_0^{\infty} \frac{\sin(x^{-p})}{x^2}dx$ where $p>1$?

How can a point be deformed to a loop?

How to deform a loop into the same loop traversed twice

doubt about contourn of residue theorem

$2f'(0) = \frac{1}{2\pi i} \int_{|z|=r}\frac{f(z)-f(-z)}{z^2} dz$

Compute the integral $\int_0^1 \frac{x^4}{\sqrt{x(1-x)}}dx$ using residue

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