List questions from contour-integration

Published on 07 Apr 2014 - 13:25

812

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$\int e^{\cos(x)} \cos(nx)\ dx$ using the residue theorem

Published on 28 Mar 2026 - 8:27

594

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Direction of Contour Integration

Published on 08 Apr 2014 - 16:16

559

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Integrate $ \int_0^{\pi/2} \frac{x^{2p}}{1+\cos^2x}dx $

Published on 09 Apr 2014 - 3:54

354

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Integral $ \int_0^\infty \frac{x^n\ln x}{(x^2+\alpha^2)^2(e^x-1)}dx$

Published on 09 Apr 2014 - 22:41

61

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Integral $\int_{-\infty}^\infty dx e^{-nx^2/2}(z-ix)^n$

Published on 09 Apr 2014 - 22:48

205

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Integral$\int_{-\infty}^\infty x^{2n} e^{-\beta (x^2+\cos x+\alpha x)}dx$

Published on 09 Apr 2014 - 23:00

220

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Integration of trigonometric functions times a simple rational function using residues

Published on 10 Apr 2014 - 1:37

294

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Integral $\int_0^\infty \frac{x^n}{(x^2+\alpha^2)^2(e^x-1)^2}dx$

Published on 10 Apr 2014 - 3:31

387

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Evaluating Contour Integral

Published on 10 Apr 2014 - 11:11

857

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Integral $\int_0^{\pi/2} \ln \sinh x \, dx$

Published on 02 Apr 2026 - 8:01

291

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Integrate $\int_0^\pi \theta^2 \ln^2\big(2\cosh\frac{\theta}{2}\big)d \theta$

Published on 11 Apr 2014 - 0:09

280

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Contour integral of $\frac{\bar{z}}{z-Z}$ on a square centered at the origin

Published on 11 Apr 2014 - 9:36

366

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complex integral of z to the power alpha

Published on 28 Mar 2026 - 2:48

428

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Integrate $I=\int_0^{\pi/2}x^2\ln(\sinh x)\ln(\cosh x)dx$

Published on 02 Apr 2026 - 7:54

List Question

Parametric equations in complex analysis

$\int e^{\cos(x)} \cos(nx)\ dx$ using the residue theorem

Direction of Contour Integration

Integrate $ \int_0^{\pi/2} \frac{x^{2p}}{1+\cos^2x}dx $

Integral $ \int_0^\infty \frac{x^n\ln x}{(x^2+\alpha^2)^2(e^x-1)}dx$

Integral $\int_{-\infty}^\infty dx e^{-nx^2/2}(z-ix)^n$

Integral$\int_{-\infty}^\infty x^{2n} e^{-\beta (x^2+\cos x+\alpha x)}dx$

Integration of trigonometric functions times a simple rational function using residues

Integral $\int_0^\infty \frac{x^n}{(x^2+\alpha^2)^2(e^x-1)^2}dx$

Evaluating Contour Integral

Integral $\int_0^{\pi/2} \ln \sinh x \, dx$

Integrate $\int_0^\pi \theta^2 \ln^2\big(2\cosh\frac{\theta}{2}\big)d \theta$

Contour integral of $\frac{\bar{z}}{z-Z}$ on a square centered at the origin

complex integral of z to the power alpha

Integrate $I=\int_0^{\pi/2}x^2\ln(\sinh x)\ln(\cosh x)dx$

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