Question

Integral equation $\int_0^{\infty} \phi(t) \sin(\omega t)dt=g(\omega)=\frac {1}{\omega^2+2},\omega>0, 0$ otherwise. Find $\phi(t)$

score 220 · Answer 1 · 2019-09-03 11:07:27

220

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Integral equation $\int_0^{\infty} \phi(t) \sin(\omega t)dt=g(\omega)=\frac {1}{\omega^2+2},\omega>0, 0$ otherwise. Find $\phi(t)$

Published on 03 Sep 2019 - 11:07

score 70 · Answer 2 · 2019-09-09 03:57:50

70

Views

Integral of $\int_{-\pi}^{\pi}\frac{\sin^2 \theta}{(\frac{1}{2}+iw\cos \theta)^4} d\theta$

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score 267 · Answer 3 · 2019-09-09 15:37:38

267

Views

integrating $ \frac{\cos(3\theta)}{5-3\cos(\theta)}d\theta$ using residue theorem

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score 225 · Answer 4 · 2019-09-11 08:35:39

225

Views

How to evaluate the integral $ \int_0^\infty \frac{\sin(\omega\tau)\sin(\omega y)\sinh\,(\omega x)}{\sinh(\omega a)} \,d\omega$

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score 56 · Answer 5 · 2019-09-15 12:39:19

56

Views

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score 50 · Answer 6 · 2019-09-16 01:00:54

50

Views

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score 99 · Answer 7 · 2026-03-25 17:43:43

99

Views

$\int_{-\infty}^{\infty}x e^{-x^2 + x(i+1)}dx$ how to?

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score 93 · Answer 8 · 2026-03-26 02:56:04

93

Views

Proving $ \int_0^{2\pi} \frac{R^2-r^2}{R^2-2Rrcos(t)+r^2}dt=2\pi$ using complex integration

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score 121 · Answer 9 · 2019-09-19 08:19:04

121

Views

Different solution for same contour integral $\int_{0}^{\infty}\frac{\cos(x)}{1+x^2}dx$

Published on 19 Sep 2019 - 8:19

score 1k · Answer 10 · 2019-09-19 15:02:33

1k

Views

Computing $ \int_C z \frac{f'(z)}{f(z)} dz $

Published on 19 Sep 2019 - 15:02

score 74 · Answer 11 · 2019-09-19 19:53:08

74

Views

Integral of norm in hilbert space

Published on 19 Sep 2019 - 19:53

score 205 · Answer 12 · 2019-09-21 04:32:32

205

Views

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score 179 · Answer 13 · 2019-09-22 03:41:34

179

Views

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Published on 22 Sep 2019 - 3:41

score 506 · Answer 14 · 2019-09-24 18:52:49

506

Views

Cauchy Integral Theorem over a square root

Published on 24 Sep 2019 - 18:52

score 478 · Answer 15 · 2019-09-28 04:43:12

478

Views

Understanding the global residue theorem

Published on 28 Sep 2019 - 4:43

List Question

Integral equation $\int_0^{\infty} \phi(t) \sin(\omega t)dt=g(\omega)=\frac {1}{\omega^2+2},\omega>0, 0$ otherwise. Find $\phi(t)$

Integral of $\int_{-\pi}^{\pi}\frac{\sin^2 \theta}{(\frac{1}{2}+iw\cos \theta)^4} d\theta$

integrating $ \frac{\cos(3\theta)}{5-3\cos(\theta)}d\theta$ using residue theorem

How to evaluate the integral $ \int_0^\infty \frac{\sin(\omega\tau)\sin(\omega y)\sinh\,(\omega x)}{\sinh(\omega a)} \,d\omega$

Residue calculation for simple pole is coming different from two approaches.

Complex integral in spectrum estimator

$\int_{-\infty}^{\infty}x e^{-x^2 + x(i+1)}dx$ how to?

Proving $ \int_0^{2\pi} \frac{R^2-r^2}{R^2-2Rrcos(t)+r^2}dt=2\pi$ using complex integration

Different solution for same contour integral $\int_{0}^{\infty}\frac{\cos(x)}{1+x^2}dx$

Computing $ \int_C z \frac{f'(z)}{f(z)} dz $

Integral of norm in hilbert space

A problem with natural log when dealing with complex numbers

Turning the Limit of a Complex Contour Integral into the Integral of a Limit

Cauchy Integral Theorem over a square root

Understanding the global residue theorem

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