List questions from contour-integration

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definite integral of form G(cos(x), sin(x)) by complex integration

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Does the dirac delta function have a residue?

Published on 10 Apr 2026 - 23:57

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Recovering cosh(ax) from it's fourier transform

Published on 02 Jun 2015 - 20:44

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Higher order poles, how high?

Published on 11 Apr 2026 - 0:44

184

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Contour integral of $\int_0^\infty \log(x) e^{-x} dx$

Published on 03 Jun 2015 - 10:51

235

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Numerical or analytical or exisistence: Inverse Laplace Transform

Published on 07 Apr 2026 - 4:42

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Showing $ \int_0^{2 \pi } \frac{dt}{a^2 \cos^2 t + b^2 \sin^2 t} = \frac{2 \pi}{ab}$

Published on 03 Jun 2015 - 18:56

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ML-inequality: How to show that $e^{i2x} = e^{i2z}$ when evaluating $\int_{-\infty}^\infty \frac {\cos^2 (x)}{x^2 + 1} dx$

Published on 03 Jun 2015 - 19:48

93

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How to Solve this Improper Integral with six poles?

Published on 04 Jun 2015 - 9:15

175

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How to compute the definite integrals of special functions?

Published on 06 Apr 2026 - 14:47

262

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removable singularity

Published on 05 Jun 2015 - 19:04

549

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Evaluating $\int_0 ^{\infty}\frac{dx}{x^{1/3}(1+x)}$ using Complex Analysis

Published on 06 Jun 2015 - 5:57

910

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A (basic?) contour integration problem

Published on 03 Apr 2026 - 2:30

235

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Question about an boundary integral equation with a jump in the boundary

Published on 11 Apr 2026 - 7:15

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Solution of $\int_0^{\pi} \frac{ y \cos y}{s^2+y^2} dy$

definite integral of form G(cos(x), sin(x)) by complex integration

Does the dirac delta function have a residue?

Recovering cosh(ax) from it's fourier transform

Higher order poles, how high?

Contour integral of $\int_0^\infty \log(x) e^{-x} dx$

Numerical or analytical or exisistence: Inverse Laplace Transform

Showing $ \int_0^{2 \pi } \frac{dt}{a^2 \cos^2 t + b^2 \sin^2 t} = \frac{2 \pi}{ab}$

ML-inequality: How to show that $e^{i2x} = e^{i2z}$ when evaluating $\int_{-\infty}^\infty \frac {\cos^2 (x)}{x^2 + 1} dx$

How to Solve this Improper Integral with six poles?

How to compute the definite integrals of special functions?

removable singularity

Evaluating $\int_0 ^{\infty}\frac{dx}{x^{1/3}(1+x)}$ using Complex Analysis

A (basic?) contour integration problem

Question about an boundary integral equation with a jump in the boundary

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