List questions from contour-integration

Published on 04 Jul 2020 - 22:31

71

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Problem with General Contour integral

Published on 26 Mar 2026 - 18:49

663

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Why do we need piecewise continuous differentiable contours for complex integration?

Published on 25 Mar 2026 - 13:04

209

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Determine $\int_{-\infty}^\infty e^{ipx - qx^2} dx$.

Published on 05 Jul 2020 - 20:43

739

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Why do we require this condition in the Laplace inversion formula?

Published on 06 Jul 2020 - 9:15

28

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Determining limits for a closed integration.

Published on 08 Jul 2020 - 7:53

155

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Contour Integration to Evaluate Improper Integral

Published on 30 Mar 2026 - 17:07

104

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Solution of a specific integral using the Cauchy Integral formula

Published on 26 Mar 2026 - 18:56

50

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$ \frac{1}{2 \pi} \int_0^{2 \pi} \frac{e^{it}}{e^{it} - a e^{i \phi}} \ln(|e^{it} - e^{i \theta}|) dt$

Published on 01 Apr 2026 - 8:57

112

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How to invert this relationship (Möbius function involved)?

Published on 26 Mar 2026 - 1:27

115

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$\int_0^\infty\frac{x^2+3}{x^4+1}\,dx$ via contour integration?

Published on 11 Jul 2020 - 0:02

108

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Calculate $\int_0^\infty \frac{\sqrt{x} \ln(x)}{1+x^2}\,dx$

Published on 11 Jul 2020 - 22:22

193

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Find $\int_{0}^{\infty} \frac{\sqrt{x}}{x^2+5x+6}$ using residues.

Published on 30 Mar 2026 - 20:53

941

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Why does the Bilateral Laplace Transform of a constant function not exist?

Published on 13 Jul 2020 - 15:24

678

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Integral Over Homotopic paths

Published on 18 Jul 2020 - 16:08

List Question

When to apply complex integration for integral resolutions

Problem with General Contour integral

Why do we need piecewise continuous differentiable contours for complex integration?

Determine $\int_{-\infty}^\infty e^{ipx - qx^2} dx$.

Why do we require this condition in the Laplace inversion formula?

Determining limits for a closed integration.

Contour Integration to Evaluate Improper Integral

Solution of a specific integral using the Cauchy Integral formula

$ \frac{1}{2 \pi} \int_0^{2 \pi} \frac{e^{it}}{e^{it} - a e^{i \phi}} \ln(|e^{it} - e^{i \theta}|) dt$

How to invert this relationship (Möbius function involved)?

$\int_0^\infty\frac{x^2+3}{x^4+1}\,dx$ via contour integration?

Calculate $\int_0^\infty \frac{\sqrt{x} \ln(x)}{1+x^2}\,dx$

Find $\int_{0}^{\infty} \frac{\sqrt{x}}{x^2+5x+6}$ using residues.

Why does the Bilateral Laplace Transform of a constant function not exist?

Integral Over Homotopic paths

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