List questions from contour-integration

179

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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 03 Apr 2026 - 4:19

688

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Contour Integration of Simple Closed Contour

Published on 11 Apr 2026 - 2:16

135

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Integration using residue theorem

Published on 11 Apr 2026 - 8:30

177

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Evaluate $\int_{-\infty}^{\infty}\frac{\sqrt{a+ix}}{a^2+x^2}\,dx$ using residue calculus

Published on 16 Jun 2015 - 16:27

109

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evaluate $\int_0^{2\pi} \frac{1}{\cos x + \sin x +2}\, dx $

Published on 17 Jun 2015 - 3:36

143

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Contour Integration of a Complex function

Published on 11 Apr 2026 - 7:56

86

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Do we have a inverse Laplace transform of $\frac{1}{\arctan s}$

Published on 07 Apr 2026 - 7:52

98

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What enclosure should I choose to evaluate the next integral using residues?

Published on 10 Apr 2026 - 6:49

71

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Integral with complex variable

Published on 09 Apr 2026 - 18:20

113

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Series involving Laguerre polynomials

Published on 06 Apr 2026 - 16:14

372

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Compute definite integral

Published on 26 Jun 2015 - 21:30

469

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Translated complex gaussian-type integral: $\int_0^{\infty} \exp(i(t-\alpha)^2) dt$

Published on 03 Apr 2026 - 5:52

51

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Show the integration with a complex variable

Published on 10 Apr 2026 - 18:23

234

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Laplace Inverse

Published on 07 Apr 2026 - 7:45

203

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Calculate complex integral

Published on 11 Apr 2026 - 0:32

List Question

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

Contour Integration of Simple Closed Contour

Integration using residue theorem

Evaluate $\int_{-\infty}^{\infty}\frac{\sqrt{a+ix}}{a^2+x^2}\,dx$ using residue calculus

evaluate $\int_0^{2\pi} \frac{1}{\cos x + \sin x +2}\, dx $

Contour Integration of a Complex function

Do we have a inverse Laplace transform of $\frac{1}{\arctan s}$

What enclosure should I choose to evaluate the next integral using residues?

Integral with complex variable

Series involving Laguerre polynomials

Compute definite integral

Translated complex gaussian-type integral: $\int_0^{\infty} \exp(i(t-\alpha)^2) dt$

Show the integration with a complex variable

Laplace Inverse

Calculate complex integral

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