Question

Calculate Fourier Transform of $\frac{\sin^2(x)}{x^2}$ for $k\in[0,2]$

score 81 · Answer 1 · 2026-04-25 15:13:03

81

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Calculate Fourier Transform of $\frac{\sin^2(x)}{x^2}$ for $k\in[0,2]$

Published on 25 Apr 2026 - 15:13

score 260 · Answer 2 · 2026-04-08 21:44:30

260

Views

Integration inside a contour plot

Published on 08 Apr 2026 - 21:44

score 321 · Answer 3 · 2026-03-25 15:10:44

321

Views

Question about pinch singularities

Published on 25 Mar 2026 - 15:10

score 89 · Answer 4 · 2026-04-14 02:28:29

89

Views

Calculate $\int_{0}^{\infty}\frac{x^{a-1}}{1-x}dx$ by complex integrals

Published on 14 Apr 2026 - 2:28

score 202 · Answer 5 · 2026-04-12 14:48:41

202

Views

Contour integration mistake: Fresnel Integral computes to zero

Published on 12 Apr 2026 - 14:48

score 37 · Answer 6 · 2026-04-12 08:30:42

37

Views

Using contours to find where a function can be defined

Published on 12 Apr 2026 - 8:30

score 203 · Answer 7 · 2026-04-10 18:50:54

203

Views

How to apply Morera's theorem to show that the holomorphic property of continuous functions extends to lines

Published on 10 Apr 2026 - 18:50

score 73 · Answer 8 · 2026-04-09 16:50:41

73

Views

Contour integral over unit circle.

Published on 09 Apr 2026 - 16:50

score 47 · Answer 9 · 2026-04-14 18:38:20

47

Views

Evaluate contour integral with odd $x$ in denominator

Published on 14 Apr 2026 - 18:38

score 62 · Answer 10 · 2026-04-12 09:39:40

62

Views

The root of a complex number in a definite integral.

Published on 12 Apr 2026 - 9:39

score 46 · Answer 11 · 2026-04-24 08:11:43

46

Views

Inversion of Laplace Transform with singularities in the exponential argument

Published on 24 Apr 2026 - 8:11

score 361 · Answer 12 · 2026-04-16 05:59:02

361

Views

Hard! Integrate $\int_0^{\frac{\pi}{2}}\frac{x\ln|\cot (x-\frac{\pi}{4})|}{\sin^2x}{d}x=\frac{\pi^{2}}{4}+\frac{\pi}{2}\ln2$

Published on 16 Apr 2026 - 5:59

score 40 · Answer 13 · 2026-04-12 09:26:32

40

Views

Computing Contour Integral for Argument Principle

Published on 12 Apr 2026 - 9:26

score 117 · Answer 14 · 2026-04-14 03:41:01

117

Views

Evaluate $\int_{-i}^{i}|z| d z$ along different contours.

Published on 14 Apr 2026 - 3:41

score 337 · Answer 15 · 2026-04-15 14:52:21

337

Views

With this contour specified, how can the integral $\int\limits_{-\infty}^{\infty}dx \frac{e^{-ixt}}{x^2-a^2}$ be equal to $0$?

Published on 15 Apr 2026 - 14:52

List Question

Calculate Fourier Transform of $\frac{\sin^2(x)}{x^2}$ for $k\in[0,2]$

Integration inside a contour plot

Question about pinch singularities

Calculate $\int_{0}^{\infty}\frac{x^{a-1}}{1-x}dx$ by complex integrals

Contour integration mistake: Fresnel Integral computes to zero

Using contours to find where a function can be defined

How to apply Morera's theorem to show that the holomorphic property of continuous functions extends to lines

Contour integral over unit circle.

Evaluate contour integral with odd $x$ in denominator

The root of a complex number in a definite integral.

Inversion of Laplace Transform with singularities in the exponential argument

Hard! Integrate $\int_0^{\frac{\pi}{2}}\frac{x\ln|\cot (x-\frac{\pi}{4})|}{\sin^2x}{d}x=\frac{\pi^{2}}{4}+\frac{\pi}{2}\ln2$

Computing Contour Integral for Argument Principle

Evaluate $\int_{-i}^{i}|z| d z$ along different contours.

With this contour specified, how can the integral $\int\limits_{-\infty}^{\infty}dx \frac{e^{-ixt}}{x^2-a^2}$ be equal to $0$?

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