List questions from complex-integration

Published on 31 Mar 2026 - 12:49

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complex integral over $dz\,dz^*$

Published on 10 Jan 2016 - 23:47

172

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Is this Complex Integration correct?

Published on 11 Jan 2016 - 7:44

88

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Trigonometric contour integral

Published on 12 Jan 2016 - 23:22

40

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Improper integral computation using complex analysis

Published on 13 Jan 2016 - 1:38

763

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Using Cauchy's integral formula to evaluate $\int_0^{2\pi} \frac{1}{a^2 \cdot {\cos}^2(t) + b^2 \cdot {\sin}^2(t)} dt$

Published on 28 Mar 2026 - 0:49

116

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Contour Integral Inequality and Normal Families

Published on 23 Feb 2026 - 6:01

92

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complex integral for Trigonometry integral solution

Published on 15 Jan 2016 - 11:52

355

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How to show that $\int_0^{\infty} dx \frac{\log{x}}{1+x^2}$ is zero using complex analysis

Published on 15 Jan 2016 - 13:28

1.1k

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Integral along the boundary is zero, if function has a compact support?

Published on 15 Jan 2016 - 13:43

254

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How to calculate $\int_{-\infty}^{\infty}\frac{x^2}{\cosh(x)}\mathrm{d}x$

Published on 15 Jan 2016 - 15:16

770

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Finding residue of double pole

Published on 20 Jan 2016 - 19:47

305

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An integral arising from Kepler's problem $\frac{1}{2\pi}\int_0^{2\pi}\ \frac{\sin^2\theta\ \text{d}\theta}{(1 + \epsilon\cos\theta)^2}$

Published on 24 Jan 2016 - 15:48

57

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$|\int\limits_a^b f(t)dt| \leq \int\limits_a^b |f(t)|dt$, where $f(t) \in \mathbb C$

Published on 25 Jan 2016 - 23:32

492

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Integral of complex logarithm on a disk in the plane

Published on 27 Jan 2016 - 11:13

List Question

The prove of the Laurent series formula

complex integral over $dz\,dz^*$

Is this Complex Integration correct?

Trigonometric contour integral

Improper integral computation using complex analysis

Using Cauchy's integral formula to evaluate $\int_0^{2\pi} \frac{1}{a^2 \cdot {\cos}^2(t) + b^2 \cdot {\sin}^2(t)} dt$

Contour Integral Inequality and Normal Families

complex integral for Trigonometry integral solution

How to show that $\int_0^{\infty} dx \frac{\log{x}}{1+x^2}$ is zero using complex analysis

Integral along the boundary is zero, if function has a compact support?

How to calculate $\int_{-\infty}^{\infty}\frac{x^2}{\cosh(x)}\mathrm{d}x$

Finding residue of double pole

An integral arising from Kepler's problem $\frac{1}{2\pi}\int_0^{2\pi}\ \frac{\sin^2\theta\ \text{d}\theta}{(1 + \epsilon\cos\theta)^2}$

$|\int\limits_a^b f(t)dt| \leq \int\limits_a^b |f(t)|dt$, where $f(t) \in \mathbb C$

Integral of complex logarithm on a disk in the plane

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