List questions from contour-integration

Published on 10 Apr 2026 - 16:10

75

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A real integral (may be requires contour integration)?

Published on 25 May 2015 - 22:53

1.3k

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Contour integral, f(z)=$ze^{z^2}$

Published on 26 May 2015 - 13:17

964

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Evaluate $\int_{-\infty}^{\infty} \frac{x \sin x}{x^2+4} \, \mathrm{d}x$ using contour integration

Published on 26 May 2015 - 20:14

1.9k

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Integral on the real line between 0 and infinity using contour integration

Published on 11 Apr 2026 - 9:23

134

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Effective Branch cut

Published on 27 May 2015 - 13:02

392

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Real Methods to Evaluate $2 \int_{-1}^{1}x^2 \sqrt{1-x^2}dx$

Published on 27 May 2015 - 23:39

536

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ML-inequality: Why does this hold $|e^{-3y+3ix}| = e^{-3y}$ during numerator estimation of $f(z) = \frac{e^{3iz}}{z^2 + 1}$

Published on 28 May 2015 - 19:28

44

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Surface area of revolution of curve

Published on 29 May 2015 - 1:19

926

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Why can't branch cut pass through poles?

Published on 26 Mar 2026 - 4:30

110

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Complex analysis integration with logs

Published on 29 May 2015 - 17:39

37

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Branch cut jump of $\log z$

Published on 29 May 2015 - 23:53

680

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Non trivial integral with the Bose-Einstein distribution and Cosine function

Published on 30 May 2015 - 9:18

282

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integral $\int_0^\pi \frac{\cos(2t)}{a^2\sin^2(t)+b^2\cos^2(t)}dt$

Published on 31 May 2015 - 17:54

831

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$\int_c \frac{8-z}{z(4-z)} dz$

Published on 31 May 2015 - 19:06

List Question

Question about a certain step in Rudin's General Cauchy Theorem proof

A real integral (may be requires contour integration)?

Contour integral, f(z)=$ze^{z^2}$

Evaluate $\int_{-\infty}^{\infty} \frac{x \sin x}{x^2+4} \, \mathrm{d}x$ using contour integration

Integral on the real line between 0 and infinity using contour integration

Effective Branch cut

Real Methods to Evaluate $2 \int_{-1}^{1}x^2 \sqrt{1-x^2}dx$

ML-inequality: Why does this hold $|e^{-3y+3ix}| = e^{-3y}$ during numerator estimation of $f(z) = \frac{e^{3iz}}{z^2 + 1}$

Surface area of revolution of curve

Why can't branch cut pass through poles?

Complex analysis integration with logs

Branch cut jump of $\log z$

Non trivial integral with the Bose-Einstein distribution and Cosine function

integral $\int_0^\pi \frac{\cos(2t)}{a^2\sin^2(t)+b^2\cos^2(t)}dt$

$\int_c \frac{8-z}{z(4-z)} dz$

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