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Evaluating a definite integral using complex integration

score 244 · Answer 1 · 2026-04-10 15:50:32

244

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Evaluating a definite integral using complex integration

Published on 10 Apr 2026 - 15:50

score 124 · Answer 2 · 2026-04-13 00:58:06

124

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Methods to calculate $\int_0^{2\pi}\frac{1}{1 - w e^{-it}}\,dt$ disagree

Published on 13 Apr 2026 - 0:58

score 230 · Answer 3 · 2026-04-15 21:43:23

230

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how to calculate the integral $\int_{0}^{+\infty}\displaystyle\frac{x^\beta\cos(ax)}{x^2-b^2}dx$

Published on 15 Apr 2026 - 21:43

score 495 · Answer 4 · 2026-04-16 19:22:02

495

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Using Local Cauchy Theorem, find the integrals $\int_{|z|=1} \sqrt{9-z^2}\, dz$ and $\int_{|z|=1}(z^2+2z)^{-1}\, dz$.

Published on 16 Apr 2026 - 19:22

score 170 · Answer 5 · 2026-04-10 17:18:23

170

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Need Help: Integrals Involving Multi-Valued Functions

Published on 10 Apr 2026 - 17:18

score 66 · Answer 6 · 2026-04-16 15:09:32

66

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Finding $\oint_{|z|=a}\frac{e^{3z}}{z^{4}-6z^{3}+13z^{2}}dz$

Published on 16 Apr 2026 - 15:09

score 83 · Answer 7 · 2026-04-16 22:03:56

83

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Evaluate : $\displaystyle\int\limits_{\gamma }\frac{\log (1+z)}{1+z}dz$

Published on 16 Apr 2026 - 22:03

score 46 · Answer 8 · 2026-04-16 12:53:54

46

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Evaluation of $\int_{y-\delta}^{x}dz \frac{1}{z^2\sqrt{a-b(z-y)^2}}$

Published on 16 Apr 2026 - 12:53

score 165 · Answer 9 · 2026-04-15 16:22:48

165

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Find $f(t,w)$ such that $\int_0^{2 \pi} f(t, w) \ln|\delta(t) - \delta(\theta)| dt = \ln|w - \delta(\theta)|$

Published on 15 Apr 2026 - 16:22

score 240 · Answer 10 · 2026-04-12 06:29:21

240

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Definite Integral involving logarithm and tangent function

Published on 12 Apr 2026 - 6:29

score 242 · Answer 11 · 2026-04-17 00:10:03

242

Views

$\int_0^{\infty}e^{-t^2/2}\,\frac{e^{2\pi}-\cos\left(\sqrt{2\pi} t\right)}{e^{4\pi}-2e^{2\pi}\cos\left(\sqrt{2\pi} t\right)+1} dt $

Published on 17 Apr 2026 - 0:10

score 592 · Answer 12 · 2026-04-12 08:53:39

592

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Finding the fx and fy components of a point on a contour map.

Published on 12 Apr 2026 - 8:53

score 896 · Answer 13 · 2026-03-26 06:34:19

896

Views

How can I solve this integral? (Hilbert transform of a Gaussian)

Published on 26 Mar 2026 - 6:34

score 47 · Answer 14 · 2026-04-12 06:09:59

47

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Fourier Transform Involving Logarithm in Denominator

Published on 12 Apr 2026 - 6:09

score 40 · Answer 15 · 2026-04-14 10:03:57

40

Views

Solve $\int_{0}^{\infty} a^{ix^2}$ dx with contour integration?

Published on 14 Apr 2026 - 10:03

List Question

Evaluating a definite integral using complex integration

Methods to calculate $\int_0^{2\pi}\frac{1}{1 - w e^{-it}}\,dt$ disagree

how to calculate the integral $\int_{0}^{+\infty}\displaystyle\frac{x^\beta\cos(ax)}{x^2-b^2}dx$

Using Local Cauchy Theorem, find the integrals $\int_{|z|=1} \sqrt{9-z^2}\, dz$ and $\int_{|z|=1}(z^2+2z)^{-1}\, dz$.

Need Help: Integrals Involving Multi-Valued Functions

Finding $\oint_{|z|=a}\frac{e^{3z}}{z^{4}-6z^{3}+13z^{2}}dz$

Evaluate : $\displaystyle\int\limits_{\gamma }\frac{\log (1+z)}{1+z}dz$

Evaluation of $\int_{y-\delta}^{x}dz \frac{1}{z^2\sqrt{a-b(z-y)^2}}$

Find $f(t,w)$ such that $\int_0^{2 \pi} f(t, w) \ln|\delta(t) - \delta(\theta)| dt = \ln|w - \delta(\theta)|$

Definite Integral involving logarithm and tangent function

$\int_0^{\infty}e^{-t^2/2}\,\frac{e^{2\pi}-\cos\left(\sqrt{2\pi} t\right)}{e^{4\pi}-2e^{2\pi}\cos\left(\sqrt{2\pi} t\right)+1} dt $

Finding the fx and fy components of a point on a contour map.

How can I solve this integral? (Hilbert transform of a Gaussian)

Fourier Transform Involving Logarithm in Denominator

Solve $\int_{0}^{\infty} a^{ix^2}$ dx with contour integration?

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