List questions from complex-integration

Published on 31 Mar 2026 - 5:39

248

Views

Find $\int_{|z|=1} f(z) d z$, when $f(z)=(z \sin z) /(z+2)+\bar{z}$

Published on 29 Mar 2026 - 18:37

42

Views

$\int_{|z|=2}\frac{1+|e^z|\operatorname{Im}z}{z}dz$

Published on 20 Apr 2021 - 8:45

267

Views

$\int_{\gamma}\frac{1}{z^2-2z}dz$

Published on 21 Apr 2021 - 14:41

93

Views

Using contour integration to evaluate a real integral

Published on 22 Apr 2021 - 15:25

88

Views

Integral of complex exponential times other complex function

Published on 28 Mar 2026 - 13:32

74

Views

Argue informally that $\int_{γ}\frac{1}{z^2}dz=0$

Published on 23 Apr 2021 - 16:55

1.1k

Views

What are path and contour integrals?

Published on 23 Apr 2021 - 20:04

210

Views

Complex integration using the residue theorem $\int_{-\infty}^\infty \frac{x\sin(x)}{x^4+1}\,dx$

Published on 24 Apr 2021 - 21:02

52

Views

Question about residues

Published on 25 Apr 2021 - 1:48

995

Views

Prove $P(z)=z^4+2z^3+3z^2+z+2$ has exactly two zeros in the right half plane

Published on 25 Mar 2026 - 12:28

369

Views

Evaluate $\int_{0}^{2\pi}f(z_0+re^{i\theta })e^{ki\theta }d\theta $

Published on 25 Apr 2021 - 17:00

43

Views

Limit of contour integral as radius of integration approaches 0.

Published on 25 Apr 2021 - 20:49

92

Views

How to evaluate integrals of complex valued functions of a real variable

Published on 26 Apr 2021 - 5:48

107

Views

Prove holomorphism of expression

Published on 26 Apr 2021 - 12:33

List Question

Integral of an analytic complex function inside a closed disk

Find $\int_{|z|=1} f(z) d z$, when $f(z)=(z \sin z) /(z+2)+\bar{z}$

$\int_{|z|=2}\frac{1+|e^z|\operatorname{Im}z}{z}dz$

$\int_{\gamma}\frac{1}{z^2-2z}dz$

Using contour integration to evaluate a real integral

Integral of complex exponential times other complex function

Argue informally that $\int_{γ}\frac{1}{z^2}dz=0$

What are path and contour integrals?

Complex integration using the residue theorem $\int_{-\infty}^\infty \frac{x\sin(x)}{x^4+1}\,dx$

Question about residues

Prove $P(z)=z^4+2z^3+3z^2+z+2$ has exactly two zeros in the right half plane

Evaluate $\int_{0}^{2\pi}f(z_0+re^{i\theta })e^{ki\theta }d\theta $

Limit of contour integral as radius of integration approaches 0.

How to evaluate integrals of complex valued functions of a real variable

Prove holomorphism of expression

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