List questions from contour-integration

Published on 09 Jun 2015 - 9:53

2k

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How to integrate $e^{-\cos(\theta)}\cos(\theta + \sin(\theta))$

Published on 11 Apr 2026 - 14:03

289

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How to evaluate such integral with pole structure?

Published on 25 Mar 2026 - 20:41

249

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real integral using residue theorem

Published on 10 Apr 2026 - 8:51

878

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Evaluating past exam problem: $\int_C \frac{\sin z}{(z+1)^7} \mathrm{d}z$

Published on 12 Jun 2015 - 2:24

131

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Polynomial Inequality via Contour Integration

Published on 12 Jun 2015 - 5:00

384

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Steepest descent method with movable maximum

Published on 08 Apr 2026 - 21:19

410

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Integral using contour integration

Published on 08 Apr 2026 - 22:25

846

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Calculating residue $\int_C \frac{8-z}{z(4-z)}dz$

Published on 13 Jun 2015 - 9:16

152

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Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$

Published on 04 Apr 2026 - 8:43

81

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$\int_{\gamma}f(z)\log\left(\frac{z+1}{z-1}\right)dz = 2\pi i\int_{x=-1}^{x=1}f(x)dx$ on an ellipse

Published on 14 Jun 2015 - 1:15

267

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Prove: $\int_C \frac{dz}{z^2+1} =0$ on the annulus $6\lt |z| \lt 8$

Published on 14 Jun 2015 - 6:58

57

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Complex Integrations and Contours

Published on 11 Apr 2026 - 0:44

35

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Locations of singularities of a function with respect to given contours

Published on 14 Jun 2015 - 13:50

481

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Complex contour integral of fraction of polynomials

Published on 11 Apr 2026 - 7:49

List Question

Evaluating $\int_{-\infty}^{\infty}\frac{\cos x}{e^x + e^{-x}}$ using the Residue Theorem

How to integrate $e^{-\cos(\theta)}\cos(\theta + \sin(\theta))$

How to evaluate such integral with pole structure?

real integral using residue theorem

Evaluating past exam problem: $\int_C \frac{\sin z}{(z+1)^7} \mathrm{d}z$

Polynomial Inequality via Contour Integration

Steepest descent method with movable maximum

Integral using contour integration

Calculating residue $\int_C \frac{8-z}{z(4-z)}dz$

Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$

$\int_{\gamma}f(z)\log\left(\frac{z+1}{z-1}\right)dz = 2\pi i\int_{x=-1}^{x=1}f(x)dx$ on an ellipse

Prove: $\int_C \frac{dz}{z^2+1} =0$ on the annulus $6\lt |z| \lt 8$

Complex Integrations and Contours

Locations of singularities of a function with respect to given contours

Complex contour integral of fraction of polynomials

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