Question

Cauchy's Residue Theorem for Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma \over x}\right)^s{{1-\beta^{s+1}}\over s(s+1)}\,ds$

score 152 · Answer 1 · 2026-03-25 11:16:33

152

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Cauchy's Residue Theorem for Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma \over x}\right)^s{{1-\beta^{s+1}}\over s(s+1)}\,ds$

Published on 25 Mar 2026 - 11:16

score 404 · Answer 2 · 2014-12-28 14:06:42

404

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Contour integral $\int_c {(z - {i^2})dz} $ over the line segment from $0$ to $1+2i$

Published on 28 Dec 2014 - 14:06

score 182 · Answer 3 · 2026-03-25 11:16:51

182

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Evaluate Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma\,x^{-1}}\right)^s{\Gamma(\beta_1-1+s)\over \Gamma(\beta_1+\beta_2-1+s)}\,ds$

Published on 25 Mar 2026 - 11:16

score 98 · Answer 4 · 2026-03-29 04:09:37

98

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complex analysis fundental theorem of caculus

Published on 29 Mar 2026 - 4:09

score 311 · Answer 5 · 2026-03-29 15:23:16

311

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Integrate using residue theorem

Published on 29 Mar 2026 - 15:23

score 192 · Answer 6 · 2026-03-25 12:45:39

192

Views

Integration with Beta Function $\beta$

Published on 25 Mar 2026 - 12:45

score 276 · Answer 7 · 2026-03-25 16:00:15

276

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Proving an Integral with Cauchy Residue Theorem

Published on 25 Mar 2026 - 16:00

score 206 · Answer 8 · 2014-12-30 17:58:10

206

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What kind of contour (if any) can be used for these types of trigonometric integrals?

Published on 30 Dec 2014 - 17:58

score 395 · Answer 9 · 2014-12-31 09:26:06

395

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Evaluating$ \int_{-\infty}^{\infty} \frac{x^6}{(4+x^4)^2} dx $using residues

Published on 31 Dec 2014 - 9:26

score 355 · Answer 10 · 2014-12-31 13:39:27

355

Views

Countour integral $\int {{{(\overline z )}^2}dz} $

Published on 31 Dec 2014 - 13:39

score 302 · Answer 11 · 2014-12-31 18:21:49

302

Views

Evaluating an alternating sum using contour integrals

Published on 31 Dec 2014 - 18:21

score 185 · Answer 12 · 2015-01-01 07:46:34

185

Views

Evaluate $\oint_c {4z - 1}\,dz$ along the circle $|z| = 1$

Published on 01 Jan 2015 - 7:46

score 251 · Answer 13 · 2015-01-01 23:47:38

251

Views

Calculating a contour integral

Published on 01 Jan 2015 - 23:47

score 117 · Answer 14 · 2015-01-02 13:58:32

117

Views

On the value of $e^{ix}$ at $\pm \infty$

Published on 02 Jan 2015 - 13:58

score 1.2k · Answer 15 · 2015-01-02 14:04:24

1.2k

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$\int_{0}^{\infty}\frac{\sqrt{x}}{1+x^2}\,dx$

Published on 02 Jan 2015 - 14:04

List Question

Cauchy's Residue Theorem for Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma \over x}\right)^s{{1-\beta^{s+1}}\over s(s+1)}\,ds$

Contour integral $\int_c {(z - {i^2})dz} $ over the line segment from $0$ to $1+2i$

Evaluate Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma\,x^{-1}}\right)^s{\Gamma(\beta_1-1+s)\over \Gamma(\beta_1+\beta_2-1+s)}\,ds$

complex analysis fundental theorem of caculus

Integrate using residue theorem

Integration with Beta Function $\beta$

Proving an Integral with Cauchy Residue Theorem

What kind of contour (if any) can be used for these types of trigonometric integrals?

Evaluating$ \int_{-\infty}^{\infty} \frac{x^6}{(4+x^4)^2} dx $using residues

Countour integral $\int {{{(\overline z )}^2}dz} $

Evaluating an alternating sum using contour integrals

Evaluate $\oint_c {4z - 1}\,dz$ along the circle $|z| = 1$

Calculating a contour integral

On the value of $e^{ix}$ at $\pm \infty$

$\int_{0}^{\infty}\frac{\sqrt{x}}{1+x^2}\,dx$

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