Question

Using Contour Integration to Prove $\lim_{\epsilon\to 0^{+}}\int_{-1}^{1}x^{\epsilon-1}\,\mathrm{d}x=-\pi\mathrm{i}$

score 494 · Answer 1 · 2026-03-25 06:12:08

494

Views

Using Contour Integration to Prove $\lim_{\epsilon\to 0^{+}}\int_{-1}^{1}x^{\epsilon-1}\,\mathrm{d}x=-\pi\mathrm{i}$

Published on 25 Mar 2026 - 6:12

score 53 · Answer 2 · 2026-03-25 09:22:31

53

Views

Contour integration with a complex variable

Published on 25 Mar 2026 - 9:22

score 222 · Answer 3 · 2018-05-06 20:11:51

222

Views

Evaluating a Path Integral in the Complex Plane

Published on 06 May 2018 - 20:11

score 194 · Answer 4 · 2026-03-25 07:42:13

194

Views

Contour integral on closed contour C that contains a singularity

Published on 25 Mar 2026 - 7:42

score 262 · Answer 5 · 2026-03-25 07:41:12

262

Views

Closed contour integral that contains singularities

Published on 25 Mar 2026 - 7:41

score 91 · Answer 6 · 2018-05-07 19:32:57

91

Views

On the integral $\iint_{\partial B_1(0)}\frac{d\Omega}{\left(1+a\cdot r\right)\left(1+b\cdot r\right)}$

Published on 07 May 2018 - 19:32

score 1.2k · Answer 7 · 2026-03-25 18:50:14

1.2k

Views

Evaluating $ \int_0^\pi \frac{\cos{n\theta}}{1 -2r\cos{\theta}+r^2} d\theta $

Published on 25 Mar 2026 - 18:50

score 147 · Answer 8 · 2018-05-10 22:55:53

147

Views

What does the question mean by 'find all the possible values' of $\int_{\gamma}\frac{1}{z}$

Published on 10 May 2018 - 22:55

score 53 · Answer 9 · 2018-05-10 23:38:35

53

Views

How to parametrise $\int_{C(0,1)}Re(z)dz$?

Published on 10 May 2018 - 23:38

score 324 · Answer 10 · 2018-05-11 10:38:09

324

Views

Determine ellipse contour integral $\int_{\gamma}\frac{dz}{z}$

Published on 11 May 2018 - 10:38

score 71 · Answer 11 · 2026-03-26 14:18:53

71

Views

Conditions for Applying Residual Theorem

Published on 26 Mar 2026 - 14:18

score 249 · Answer 12 · 2026-03-28 08:38:54

249

Views

Mellin transform of polynomials over the unit interval. How to invert?

Published on 28 Mar 2026 - 8:38

score 272 · Answer 13 · 2018-05-14 07:07:11

272

Views

Evaluate $\int_C{\frac{\sin z}{z^2(z-2)}}dz$ where $C$ is given by $x^2+xy+y^2=1$

Published on 14 May 2018 - 7:07

score 121 · Answer 14 · 2026-03-25 06:11:57

121

Views

Showing that $\int_0^{\infty} \frac{\cos(x)-e^{-x}}{x} dx = 0 $

Published on 25 Mar 2026 - 6:11

score 179 · Answer 15 · 2026-03-26 08:00:36

179

Views

Contour integration of fourier transform around a semicircle orientation of contour

Published on 26 Mar 2026 - 8:00

List Question

Using Contour Integration to Prove $\lim_{\epsilon\to 0^{+}}\int_{-1}^{1}x^{\epsilon-1}\,\mathrm{d}x=-\pi\mathrm{i}$

Contour integration with a complex variable

Evaluating a Path Integral in the Complex Plane

Contour integral on closed contour C that contains a singularity

Closed contour integral that contains singularities

On the integral $\iint_{\partial B_1(0)}\frac{d\Omega}{\left(1+a\cdot r\right)\left(1+b\cdot r\right)}$

Evaluating $ \int_0^\pi \frac{\cos{n\theta}}{1 -2r\cos{\theta}+r^2} d\theta $

What does the question mean by 'find all the possible values' of $\int_{\gamma}\frac{1}{z}$

How to parametrise $\int_{C(0,1)}Re(z)dz$?

Determine ellipse contour integral $\int_{\gamma}\frac{dz}{z}$

Conditions for Applying Residual Theorem

Mellin transform of polynomials over the unit interval. How to invert?

Evaluate $\int_C{\frac{\sin z}{z^2(z-2)}}dz$ where $C$ is given by $x^2+xy+y^2=1$

Showing that $\int_0^{\infty} \frac{\cos(x)-e^{-x}}{x} dx = 0 $

Contour integration of fourier transform around a semicircle orientation of contour

Trending Questions

Popular # Hahtags

Popular Questions