Question

Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$

score 2.8k · Answer 1 · 2026-03-25 09:40:02

2.8k

Views

Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$

Published on 25 Mar 2026 - 9:40

score 3.8k · Answer 2 · 2014-12-11 00:33:01

3.8k

Views

Evaluate $\int_0^{2\pi} \frac{\sin^2\theta}{5+4\cos\theta}\,\mathrm d\theta$

Published on 11 Dec 2014 - 0:33

score 150 · Answer 3 · 2026-03-28 02:24:25

150

Views

Residue theorem with contour integrals: $ \int_{\gamma} \frac{1}{z^{2}\sin(z)} dz$ where $\gamma(t) = e^{it}$ and $ 0 \leq t \leq 2\pi$

Published on 28 Mar 2026 - 2:24

score 415 · Answer 4 · 2026-03-28 02:22:18

415

Views

integration, laurent series, residue therorem

Published on 28 Mar 2026 - 2:22

score 555 · Answer 5 · 2014-12-11 21:37:14

555

Views

Evaluation of $\int_0^{2\pi} \frac{1}{1+8\cos^2(\theta)}d\theta$ with Cauchy's residue Theorem

Published on 11 Dec 2014 - 21:37

score 496 · Answer 6 · 2014-12-12 14:35:40

496

Views

Contour integral $\int_{|z|=1}\frac{2z^2+z}{z^2-1}\, dz$ using residues

Published on 12 Dec 2014 - 14:35

score 133 · Answer 7 · 2026-03-28 02:24:31

133

Views

How do I calculate the residue of $\sin(z+1/z)$?

Published on 28 Mar 2026 - 2:24

score 561 · Answer 8 · 2026-03-28 02:24:26

561

Views

Compute $\int_\Gamma \frac{e^\frac{1}{z}}{z-1}dz$, where $\Gamma$ is the circle $|z-1|\le\frac{3}{2}$, positively oriented.

Published on 28 Mar 2026 - 2:24

score 65 · Answer 9 · 2014-12-14 21:29:05

65

Views

Calculate a complex integral using residues

Published on 14 Dec 2014 - 21:29

score 86 · Answer 10 · 2014-12-15 01:39:57

86

Views

Complex Analysis Integrals

Published on 15 Dec 2014 - 1:39

score 69 · Answer 11 · 2014-12-15 20:38:15

69

Views

calculating the residue of a complex function in an integral

Published on 15 Dec 2014 - 20:38

score 1.6k · Answer 12 · 2014-12-16 21:25:42

1.6k

Views

How to find the residues of $\frac{1}{(z^4+4)^2}$?

Published on 16 Dec 2014 - 21:25

score 151 · Answer 13 · 2026-03-28 02:24:27

151

Views

How to compute the residue of $(z^2+2z+1)\sin\left(\frac{1}{1+z}\right)$

Published on 28 Mar 2026 - 2:24

score 92 · Answer 14 · 2014-12-19 10:32:17

92

Views

How is $ \lim_{z \to z_o} (z-z_o)\frac{f(z)}{g(z)} = \lim_{z \to z_o} \frac{f(z)}{g(z)-g(z_o)/(z-z_o)}= \frac{f(z_o)}{g'(z_o)}$?

Published on 19 Dec 2014 - 10:32

score 1.7k · Answer 15 · 2014-12-19 14:33:46

1.7k

Views

Evaluating sums using residues $(-1)^n/n^2$

Published on 19 Dec 2014 - 14:33

List Question

Evaluate the Cauchy Principal Value of $\int_{-\infty}^{\infty} \frac{\sin x}{x(x^2-2x+2)}dx$

Evaluate $\int_0^{2\pi} \frac{\sin^2\theta}{5+4\cos\theta}\,\mathrm d\theta$

Residue theorem with contour integrals: $ \int_{\gamma} \frac{1}{z^{2}\sin(z)} dz$ where $\gamma(t) = e^{it}$ and $ 0 \leq t \leq 2\pi$

integration, laurent series, residue therorem

Evaluation of $\int_0^{2\pi} \frac{1}{1+8\cos^2(\theta)}d\theta$ with Cauchy's residue Theorem

Contour integral $\int_{|z|=1}\frac{2z^2+z}{z^2-1}\, dz$ using residues

How do I calculate the residue of $\sin(z+1/z)$?

Compute $\int_\Gamma \frac{e^\frac{1}{z}}{z-1}dz$, where $\Gamma$ is the circle $|z-1|\le\frac{3}{2}$, positively oriented.

Calculate a complex integral using residues

Complex Analysis Integrals

calculating the residue of a complex function in an integral

How to find the residues of $\frac{1}{(z^4+4)^2}$?

How to compute the residue of $(z^2+2z+1)\sin\left(\frac{1}{1+z}\right)$

How is $ \lim_{z \to z_o} (z-z_o)\frac{f(z)}{g(z)} = \lim_{z \to z_o} \frac{f(z)}{g(z)-g(z_o)/(z-z_o)}= \frac{f(z_o)}{g'(z_o)}$?

Evaluating sums using residues $(-1)^n/n^2$

Trending Questions

Popular # Hahtags

Popular Questions