List questions from contour-integration

Published on 04 Apr 2026 - 6:02

112

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Certain type of integrals $ \int_0^{\pi}d\theta\sin\theta \frac{1}{x+i\epsilon - \sqrt{y+z\cos\theta}}, $

Published on 11 Mar 2016 - 14:01

207

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Cauchy's theorem for contour integration

Published on 11 Apr 2026 - 16:23

383

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Contour integral - Circle instead of a square

Published on 12 Mar 2016 - 22:20

66

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$r(\theta) e^{i\theta}$ - Parametrization of the square $\gamma$

Published on 12 Mar 2016 - 22:56

1.4k

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Contour integral - Unit circle

Published on 13 Apr 2026 - 0:02

474

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Contour integral over the unit circle

Published on 11 Apr 2026 - 4:56

131

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Inequality - Contour integral

Published on 11 Apr 2026 - 17:36

28

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System of equations - Contour integral

Published on 11 Apr 2026 - 10:06

375

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Proof of Sophomore's Dream using Contour Integration

Published on 09 Apr 2026 - 1:07

338

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Definition of the domain - Cauchy theorem - Contour integration

Published on 13 Apr 2026 - 0:56

1.7k

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Modified Bessel Function Integral representation proof $K_{\nu}(z)=\frac{z^{\nu}}{2^{\nu+1}}\int_{0}^{\infty}t^{-\nu-1}e^{-t-z^{2}/4t}dt $

Published on 08 Apr 2026 - 7:31

127

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Contour integral on the function $\frac{\log z}{z-z_0}$

Published on 16 Mar 2016 - 20:32

169

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Deriving Cauchy integral formula

Published on 28 Mar 2026 - 2:42

58

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Contour integral - Use an example to contredict an answer

Published on 17 Mar 2016 - 19:40

List Question

Use of residues to find I=$\int_0^\infty \frac{\sin^2(x)}{1+x^4} dx$

Certain type of integrals $ \int_0^{\pi}d\theta\sin\theta \frac{1}{x+i\epsilon - \sqrt{y+z\cos\theta}}, $

Cauchy's theorem for contour integration

Contour integral - Circle instead of a square

$r(\theta) e^{i\theta}$ - Parametrization of the square $\gamma$

Contour integral - Unit circle

Contour integral over the unit circle

Inequality - Contour integral

System of equations - Contour integral

Proof of Sophomore's Dream using Contour Integration

Definition of the domain - Cauchy theorem - Contour integration

Modified Bessel Function Integral representation proof $K_{\nu}(z)=\frac{z^{\nu}}{2^{\nu+1}}\int_{0}^{\infty}t^{-\nu-1}e^{-t-z^{2}/4t}dt $

Contour integral on the function $\frac{\log z}{z-z_0}$

Deriving Cauchy integral formula

Contour integral - Use an example to contredict an answer

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