List questions from contour-integration

Published on 30 Mar 2026 - 11:58

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Evaluating a Hankel contour of zeta-like function

Published on 01 Apr 2026 - 14:42

62

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Using a contour integral of $f(z)=x^{4n+3}e^{-z}$ to show $\int_0^\infty x^{4n+3}e^{-x}\cos x\;dx=(-1)^{n+1}(4n+3)!/2^{2n+2}$

Published on 27 May 2020 - 21:47

65

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How would I show the result below using contour integration?

Published on 28 May 2020 - 18:21

87

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Contradiction of Cauchy's Residue theorem?

Published on 26 Mar 2026 - 17:13

112

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Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

Published on 25 Mar 2026 - 9:53

425

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What does it mean when $|z| = 2$ is the curve in a contour integral?

Published on 29 May 2020 - 19:55

65

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Integrate $\int_0^{2\pi} \frac{(\cos^2{x})^{2-\beta}}{(1+\alpha \cos{x})^{4-\beta}} dx$

Published on 30 Mar 2026 - 13:39

125

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Is $\int_{-\infty}^{\infty}\frac{1}{(x-a)}dx = \pi i $?

Published on 31 May 2020 - 2:18

204

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Evaluation of Singular Integrals by Complex Contour Integration

Published on 25 Mar 2026 - 1:34

302

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Steepest descent with multiple saddles

Published on 23 Feb 2026 - 5:38

1.7k

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Evaluate the integral $\int_C \frac{1}{z^3} dz$

Published on 26 Mar 2026 - 17:14

1.1k

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How to evaluate $\int_{|z|=2} \frac{|z| e^z}{z^2} dz$?

Published on 26 Mar 2026 - 17:13

202

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Evaluating the following integral $\int_{0}^{\infty} \frac{\ln(x^{2}+1)} {(x(x^{2}+1))} dx$

Published on 25 Mar 2026 - 3:21

40

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How would I go about showing the following result to be true using contour integration?

Published on 06 Jun 2020 - 23:37

List Question

Solve $\int_{|z|=2}\frac{e^{3z}}{(z-1)^3}dz$ using residue.

Evaluating a Hankel contour of zeta-like function

Using a contour integral of $f(z)=x^{4n+3}e^{-z}$ to show $\int_0^\infty x^{4n+3}e^{-x}\cos x\;dx=(-1)^{n+1}(4n+3)!/2^{2n+2}$

How would I show the result below using contour integration?

Contradiction of Cauchy's Residue theorem?

Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

What does it mean when $|z| = 2$ is the curve in a contour integral?

Integrate $\int_0^{2\pi} \frac{(\cos^2{x})^{2-\beta}}{(1+\alpha \cos{x})^{4-\beta}} dx$

Is $\int_{-\infty}^{\infty}\frac{1}{(x-a)}dx = \pi i $?

Evaluation of Singular Integrals by Complex Contour Integration

Steepest descent with multiple saddles

Evaluate the integral $\int_C \frac{1}{z^3} dz$

How to evaluate $\int_{|z|=2} \frac{|z| e^z}{z^2} dz$?

Evaluating the following integral $\int_{0}^{\infty} \frac{\ln(x^{2}+1)} {(x(x^{2}+1))} dx$

How would I go about showing the following result to be true using contour integration?

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