List questions from complex-integration

178

Views

Why $\lim_{R\to\infty}\int_{0}^{\pi}\sin(R^{2}e^{2i\theta})iRe^{i\theta}\:\mathrm{d}\theta = -\sqrt{\frac{\pi}{2}}$

Published on 14 Jun 2015 - 20:10

184

Views

How to calculate $\int_{-\infty}^{\infty} x^2 \cos(ax)e^{-x^2}dx$ using Cauchy's theorem

Published on 14 Jun 2015 - 21:44

132

Views

Integration using residue theorem

Published on 15 Jun 2015 - 5:32

106

Views

Using residue theorem find $\int_{\theta-\pi}^{\theta-2\pi}1/(r^2+1-2r\cos u)$

Published on 17 Jun 2015 - 16:47

220

Views

Calculation of an improper integral in the context of complex functions

Published on 17 Jun 2015 - 20:46

137

Views

Improper integrals and residues

Published on 20 Jun 2015 - 2:11

127

Views

Evaluate the improper integral with residues

Published on 20 Jun 2015 - 2:48

202

Views

Bounding a complex integral over a square

Published on 20 Jun 2015 - 3:27

669

Views

Poles on the curve

Published on 20 Jun 2015 - 15:51

166

Views

Improper integral and residues

Published on 21 Jun 2015 - 3:05

251

Views

Complex Integration with trignometric function

Published on 22 Jun 2015 - 1:19

111

Views

Complex integration with trigonometric and logarithm

Published on 22 Jun 2015 - 17:04

116

Views

Complex integration: normally on a closed contour?

Published on 23 Jun 2015 - 1:09

89

Views

Complex integral using Residue Theorem with a regularised pole

Published on 23 Jun 2015 - 9:14

437

Views

Moving limit inside a contour integral

Published on 24 Jun 2015 - 1:15

List Question

Why $\lim_{R\to\infty}\int_{0}^{\pi}\sin(R^{2}e^{2i\theta})iRe^{i\theta}\:\mathrm{d}\theta = -\sqrt{\frac{\pi}{2}}$

How to calculate $\int_{-\infty}^{\infty} x^2 \cos(ax)e^{-x^2}dx$ using Cauchy's theorem

Integration using residue theorem

Using residue theorem find $\int_{\theta-\pi}^{\theta-2\pi}1/(r^2+1-2r\cos u)$

Calculation of an improper integral in the context of complex functions

Improper integrals and residues

Evaluate the improper integral with residues

Bounding a complex integral over a square

Poles on the curve

Improper integral and residues

Complex Integration with trignometric function

Complex integration with trigonometric and logarithm

Complex integration: normally on a closed contour?

Complex integral using Residue Theorem with a regularised pole

Moving limit inside a contour integral

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