List questions from contour-integration

Published on 26 Mar 2026 - 21:12

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Integrate $\int_{0}^{\infty} \frac{dx}{1 + x^n}$ using the Residue Theorem

Published on 26 Mar 2026 - 22:53

57

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Help on contour integral on another answer on this site

Published on 20 Jul 2018 - 20:04

61

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Improper integral involving exponential function

Published on 22 Jul 2018 - 5:32

196

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Is $\int \frac{e^{z^2}}{z^3} dz=\pi i$? I got $2 \pi i$.

Published on 26 Mar 2026 - 1:03

676

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Why is $\int_{[0,1]} \frac{dw}{1-wz}$ is holomorphic in unit disc?

Published on 23 Jul 2018 - 9:29

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Prove $\frac{1}{2 \pi i}\int_{\gamma} \frac{gf'}{f} = \sum_{m=1}^{j} g(z_m) - \sum_{n=1}^{k} g(p_n)$.

Published on 25 Mar 2026 - 12:50

281

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Closed form of $\int_{[0,1]} \frac{dw}{1-wz}$ involving Ln?

Published on 25 Mar 2026 - 11:16

118

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$\lim \int_0^{\infty} \frac1n e^{-\frac{t}{n}} dt \ne \int_0^{\infty} \lim \frac1n e^{-\frac{t}{n}} dt$ in complex as in real?

Published on 28 Mar 2026 - 14:00

360

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Evaluating $\int _0^\infty\,\frac{\ln x}{(1+x^2)^2}\,\text{d}x$ using the Residue Theorem

Published on 28 Mar 2026 - 12:14

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Contour for Principal Value Integral

Published on 27 Mar 2026 - 13:44

113

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How to solve this complex integral?

Published on 26 Mar 2026 - 0:58

483

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Contour integral of $\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx $ with non rectangular contour

Published on 28 Jul 2018 - 2:01

62

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$\int_0^{\infty} \sin (a^2 x^2)dx$ picking the contour of integration

Published on 28 Jul 2018 - 2:22

313

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Calculate Integral $\int_{0}^{\infty} \,\frac{\sqrt{x}\,\cos\big(\ln(x)\big)}{x^2+1}\,\text{d}x$, Using Complex Analysis

Published on 28 Mar 2026 - 12:14

List Question

Evaluate $\int_{|z|=4}\tan z dz$

Integrate $\int_{0}^{\infty} \frac{dx}{1 + x^n}$ using the Residue Theorem

Help on contour integral on another answer on this site

Improper integral involving exponential function

Is $\int \frac{e^{z^2}}{z^3} dz=\pi i$? I got $2 \pi i$.

Why is $\int_{[0,1]} \frac{dw}{1-wz}$ is holomorphic in unit disc?

Prove $\frac{1}{2 \pi i}\int_{\gamma} \frac{gf'}{f} = \sum_{m=1}^{j} g(z_m) - \sum_{n=1}^{k} g(p_n)$.

Closed form of $\int_{[0,1]} \frac{dw}{1-wz}$ involving Ln?

$\lim \int_0^{\infty} \frac1n e^{-\frac{t}{n}} dt \ne \int_0^{\infty} \lim \frac1n e^{-\frac{t}{n}} dt$ in complex as in real?

Evaluating $\int _0^\infty\,\frac{\ln x}{(1+x^2)^2}\,\text{d}x$ using the Residue Theorem

Contour for Principal Value Integral

How to solve this complex integral?

Contour integral of $\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx $ with non rectangular contour

$\int_0^{\infty} \sin (a^2 x^2)dx$ picking the contour of integration

Calculate Integral $\int_{0}^{\infty} \,\frac{\sqrt{x}\,\cos\big(\ln(x)\big)}{x^2+1}\,\text{d}x$, Using Complex Analysis

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