List questions from contour-integration

Published on 14 Apr 2026 - 12:26

132

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How do I calculate the definite integral $\int_{-1}^1\frac{\sqrt{1-x^2}}{1+x^2}dx$ using complex variables?

Published on 14 Apr 2026 - 11:28

427

Views

Describing $\frac{\partial}{\partial x} \oint_{\partial \Omega(x)} f(x, n) \; \mathrm{d}n$ as a contour integral.

Published on 14 Apr 2026 - 23:01

57

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About the general method to compute the number of zeros of complex polynomials

Published on 12 Apr 2026 - 9:57

102

Views

Integral of real exponential and simple pole using residue theorem

Published on 13 Apr 2026 - 3:14

81

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Why does this function and contour I chose not work in solving this integral?

Published on 14 Apr 2026 - 7:17

102

Views

Finding integration of $\exp(2\overline z)$

Published on 17 Apr 2026 - 11:09

117

Views

Cauchy's integral formula with a constant

Published on 10 Apr 2026 - 15:25

49

Views

Residue Calculus with different enclosing methods of contour

Published on 08 Apr 2026 - 17:35

149

Views

Evaluating real integral using complex analysis.

Published on 09 Apr 2026 - 14:25

123

Views

Contour integral in presence of a branch cut.

Published on 12 Apr 2026 - 4:10

80

Views

Complex analysis for real valued integrals.

Published on 12 Apr 2026 - 11:01

1.4k

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Contour integration and Green's function

Published on 13 Apr 2026 - 6:49

255

Views

How to compute $ P.V. \int_{-\infty}^{\infty} \frac{e^{iwx}}{|w|} \,dw $?

Published on 26 Mar 2026 - 6:34

51

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Why $\int_{-\infty-\frac{i\omega}{2k^2}}^{{\infty-\frac{i\omega}{2k^2}}} e^{-k^2x^2}dx=\int_{-\infty}^{{\infty}} e^{-k^2x^2}dx$?

Published on 26 Mar 2026 - 8:23

List Question

Compute exact integrals with quaternions

How do I calculate the definite integral $\int_{-1}^1\frac{\sqrt{1-x^2}}{1+x^2}dx$ using complex variables?

Describing $\frac{\partial}{\partial x} \oint_{\partial \Omega(x)} f(x, n) \; \mathrm{d}n$ as a contour integral.

About the general method to compute the number of zeros of complex polynomials

Integral of real exponential and simple pole using residue theorem

Why does this function and contour I chose not work in solving this integral?

Finding integration of $\exp(2\overline z)$

Cauchy's integral formula with a constant

Residue Calculus with different enclosing methods of contour

Evaluating real integral using complex analysis.

Contour integral in presence of a branch cut.

Complex analysis for real valued integrals.

Contour integration and Green's function

How to compute $ P.V. \int_{-\infty}^{\infty} \frac{e^{iwx}}{|w|} \,dw $?

Why $\int_{-\infty-\frac{i\omega}{2k^2}}^{{\infty-\frac{i\omega}{2k^2}}} e^{-k^2x^2}dx=\int_{-\infty}^{{\infty}} e^{-k^2x^2}dx$?

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