List questions from contour-integration

Published on 16 Aug 2014 - 9:58

127

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winding number of $\gamma$ and point exterior to $\gamma$

Published on 26 Mar 2026 - 4:36

308

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Problem with calculating winding number in sum of curves

Published on 26 Mar 2026 - 6:12

295

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Is it possible to use complex logarithm to integrate $1/(z+i)$ along a path?

Published on 16 Aug 2014 - 19:24

110

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Guidance or advice with $I=\int_0^{2\pi}\frac{1}{4+\cos t}dt$

Published on 17 Aug 2014 - 11:43

110

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How should I calculate $\displaystyle\int_{-\infty}^\infty\exp\left\{-\frac{1}{2}(x-it)^2\right\}dx$?

Published on 17 Aug 2014 - 13:49

150

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$\int_{|z| = 2} \frac{1}{f(z)(1+f(z))^2} dz$ where $f(z) = z^{1/2}$ with branch such that $\Re f(z) \geq 0$

Published on 25 Mar 2026 - 5:10

1.4k

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What advanced methods in contour integration are there?

Published on 27 Mar 2026 - 11:52

567

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Showing that $\tan(\pi z) = z$ has exactly three solutions in the strip $|\Re(z)| < 1$

Published on 19 Aug 2014 - 23:21

332

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Stokes' Theorem and Surfaces

Published on 26 Mar 2026 - 9:25

214

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Contour integral in complex plane (tricky)

Published on 23 Aug 2014 - 7:37

853

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Residue with half order pole?

Published on 29 Mar 2026 - 6:54

1.3k

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How to prove $\int^{\pi/2}_0 \log{\cos{x}} \, \mathrm{d}x = \frac{\pi}{2}\log\left(\frac12\right)$

Published on 29 Mar 2026 - 7:00

43

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complex integration-how to solve the given problem

Published on 28 Mar 2026 - 15:12

703

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Contour Integral $ \int_{0}^1 \frac{\ln{x}}{\sqrt{1-x^2}} \mathrm dx$

Published on 25 Mar 2026 - 5:09

List Question

Contour Integrals evaluation verification

winding number of $\gamma$ and point exterior to $\gamma$

Problem with calculating winding number in sum of curves

Is it possible to use complex logarithm to integrate $1/(z+i)$ along a path?

Guidance or advice with $I=\int_0^{2\pi}\frac{1}{4+\cos t}dt$

How should I calculate $\displaystyle\int_{-\infty}^\infty\exp\left\{-\frac{1}{2}(x-it)^2\right\}dx$?

$\int_{|z| = 2} \frac{1}{f(z)(1+f(z))^2} dz$ where $f(z) = z^{1/2}$ with branch such that $\Re f(z) \geq 0$

What advanced methods in contour integration are there?

Showing that $\tan(\pi z) = z$ has exactly three solutions in the strip $|\Re(z)| < 1$

Stokes' Theorem and Surfaces

Contour integral in complex plane (tricky)

Residue with half order pole?

How to prove $\int^{\pi/2}_0 \log{\cos{x}} \, \mathrm{d}x = \frac{\pi}{2}\log\left(\frac12\right)$

complex integration-how to solve the given problem

Contour Integral $ \int_{0}^1 \frac{\ln{x}}{\sqrt{1-x^2}} \mathrm dx$

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