List questions from complex-integration

Published on 09 Mar 2022 - 2:20

79

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$\int_{0}^{\infty} \frac{1}{x^4+x^2+1} dx$ with residue theorem

Published on 09 Mar 2022 - 3:37

75

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Integration by Parts in complex analysis

Published on 09 Apr 2026 - 12:55

25

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Integration along a contour containing a branch cut

Published on 26 Mar 2026 - 4:30

30

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How to calculate infinite integral in complex plane

Published on 10 Apr 2026 - 9:40

227

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Problem on a argument theorem complex analysis.

Published on 09 Apr 2026 - 9:14

78

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Holomorphic function being identically zero

Published on 30 Mar 2026 - 3:34

69

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Complex integral inside rectangular loop

Published on 09 Apr 2026 - 20:14

452

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Integral of 1/z over the unit circle

Published on 13 Mar 2022 - 14:26

39

Views

Circle method way to count solutions to inequalities?

Published on 11 Apr 2026 - 3:24

135

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What property is being used to relate $\arctan(x)$ and $\ln(1 + x^2)$ in these complex integrals?

Published on 15 Mar 2022 - 16:42

92

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How to evaluate $\int _{0}^{\frac{\pi}{2}} \frac{\mathrm dx}{a+\cos x}$ using contour integration?

Published on 16 Mar 2022 - 15:50

103

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Is there a way to find holomorphy or path independence without using Cauchy's or Morera's theorem?

Published on 17 Mar 2022 - 20:08

88

Views

The integral of $\ln^{k}(2\cosh u)$ from $0$ to $i\pi/2$

Published on 18 Mar 2022 - 15:45

113

Views

Variation of Argument definition

Published on 09 Apr 2026 - 2:29

List Question

Complex integral on path C: $\int_{C}\cos\left(z^2\right) +\left(z^*\right)^2\mathrm{d}z.$

$\int_{0}^{\infty} \frac{1}{x^4+x^2+1} dx$ with residue theorem

Integration by Parts in complex analysis

Integration along a contour containing a branch cut

How to calculate infinite integral in complex plane

Problem on a argument theorem complex analysis.

Holomorphic function being identically zero

Complex integral inside rectangular loop

Integral of 1/z over the unit circle

Circle method way to count solutions to inequalities?

What property is being used to relate $\arctan(x)$ and $\ln(1 + x^2)$ in these complex integrals?

How to evaluate $\int _{0}^{\frac{\pi}{2}} \frac{\mathrm dx}{a+\cos x}$ using contour integration?

Is there a way to find holomorphy or path independence without using Cauchy's or Morera's theorem?

The integral of $\ln^{k}(2\cosh u)$ from $0$ to $i\pi/2$

Variation of Argument definition

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