List questions from contour-integration

Published on 12 Apr 2026 - 11:04

117

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Compute $\oint_\gamma\sin z\, dz$

Published on 14 Apr 2026 - 8:12

70

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How are these contour integrals done?

Published on 11 Apr 2026 - 11:25

720

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Parametrization of Contour $C$

Published on 11 Apr 2026 - 16:49

491

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Is it possible to evaluate the integral $I=\int_0^\infty \frac{\sqrt{x}\arctan(x)}{1+x^2}dx$ with residue theorem?

Published on 16 Apr 2026 - 14:38

59

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Approaches to analysis of contour integrals - showing the integral is positive

Published on 25 Apr 2026 - 7:09

89

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Logarithmic integral (Green function)

Published on 11 Apr 2026 - 11:17

130

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Help integrating the contour integral $\oint_C \frac{e^{\frac{1}{z}}}{z(1-qz)}dz$ around the unit circle

Published on 13 Apr 2026 - 23:39

69

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Integrating $\int_{0}^{\infty} x^{-k} e^{-a(x+d)^2} dx$ where $k \in \mathbb{Z}_{+}$

Published on 16 Apr 2026 - 15:06

141

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Complex Contour Integral with tan z

Published on 11 Apr 2026 - 0:43

197

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Contour integral of absolute value of a function

Published on 11 Apr 2026 - 11:32

74

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Find $\int_{\gamma}\frac{(\sin z)^2}{(z-z_0)^2}dz$

Published on 17 Apr 2026 - 12:26

391

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parametrization of path in contour integral and substitution

Published on 10 Apr 2026 - 7:19

96

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Evaluation of $\zeta$ for integer values

Published on 12 Apr 2026 - 6:40

1.1k

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Calculate the line integral $\oint_{C} \frac{2z^3+z^2+4}{z^4+4z^2}dz$, where $C$ is the circle $|z-2|=4$ clockwise watch.

Published on 17 Apr 2026 - 6:07

List Question

How can i calculate the contour integral of this trigonometric function?

Compute $\oint_\gamma\sin z\, dz$

How are these contour integrals done?

Parametrization of Contour $C$

Is it possible to evaluate the integral $I=\int_0^\infty \frac{\sqrt{x}\arctan(x)}{1+x^2}dx$ with residue theorem?

Approaches to analysis of contour integrals - showing the integral is positive

Logarithmic integral (Green function)

Help integrating the contour integral $\oint_C \frac{e^{\frac{1}{z}}}{z(1-qz)}dz$ around the unit circle

Integrating $\int_{0}^{\infty} x^{-k} e^{-a(x+d)^2} dx$ where $k \in \mathbb{Z}_{+}$

Complex Contour Integral with tan z

Contour integral of absolute value of a function

Find $\int_{\gamma}\frac{(\sin z)^2}{(z-z_0)^2}dz$

parametrization of path in contour integral and substitution

Evaluation of $\zeta$ for integer values

Calculate the line integral $\oint_{C} \frac{2z^3+z^2+4}{z^4+4z^2}dz$, where $C$ is the circle $|z-2|=4$ clockwise watch.

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