List questions from contour-integration

Published on 10 May 2026 - 11:20

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Imaginary Gaussian integral

Published on 12 Apr 2026 - 7:50

171

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Evaluating a complex path integral using the complex fundamental theorem of calculus.

Published on 10 May 2026 - 17:35

139

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Having trouble evaluating this integral using the binomial theorem.

Published on 10 May 2026 - 15:27

101

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Complex integral $I=\int_{|z|=2} \frac{z^3 e^{\frac{1}{z}}}{z+1}dz$

Published on 10 May 2026 - 18:06

411

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PV of $\int_{-\infty}^\infty \frac{x^n~ e^{-ax^2} dx}{(x-x_1)(x-x_2)},~ (n=0,1,2,3,...)$

Published on 10 May 2026 - 12:34

3.8k

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Intuitive reason why contour integral around origin of $z^n$ is 0 unless n = -1

Published on 10 May 2026 - 18:06

239

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Evaluating a tricky integral using Cauchy's integral formula.

Published on 10 May 2026 - 18:41

1k

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Inverse Mellin Transform of gamma function products

Published on 30 Apr 2026 - 13:33

569

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Arc contribution in $\int_{-\infty}^\infty \mathrm{d}z \frac{e^{-z^2}}{z-1}$

Published on 10 May 2026 - 18:04

122

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Regulating divergent integrals in the complex plane

Published on 10 May 2026 - 22:32

145

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Evaluating Trig Integrals with Residues

Published on 10 May 2026 - 23:56

194

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Convergence of Bromwich Integral

Published on 10 May 2026 - 15:46

345

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Contour integral exercise

Published on 11 Apr 2026 - 3:35

130

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Calculate the following contour integrals $\int_{\lambda}\overline z dz$ and $ \int_{\lambda}e^zdz$

Published on 10 May 2026 - 18:43

List Question

An approach to evaluating a Cauchy principal value that yields unexpected extra imaginary term

Imaginary Gaussian integral

Evaluating a complex path integral using the complex fundamental theorem of calculus.

Having trouble evaluating this integral using the binomial theorem.

Complex integral $I=\int_{|z|=2} \frac{z^3 e^{\frac{1}{z}}}{z+1}dz$

PV of $\int_{-\infty}^\infty \frac{x^n~ e^{-ax^2} dx}{(x-x_1)(x-x_2)},~ (n=0,1,2,3,...)$

Intuitive reason why contour integral around origin of $z^n$ is 0 unless n = -1

Evaluating a tricky integral using Cauchy's integral formula.

Inverse Mellin Transform of gamma function products

Arc contribution in $\int_{-\infty}^\infty \mathrm{d}z \frac{e^{-z^2}}{z-1}$

Regulating divergent integrals in the complex plane

Evaluating Trig Integrals with Residues

Convergence of Bromwich Integral

Contour integral exercise

Calculate the following contour integrals $\int_{\lambda}\overline z dz$ and $ \int_{\lambda}e^zdz$

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