Question

Find $\int_{\gamma} e^zz^n dz$ where $\gamma$ is the unit circle, using Cauchy's Integral Formula

score 1.8k · Answer 1 · 2026-03-25 20:41:03

1.8k

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Find $\int_{\gamma} e^zz^n dz$ where $\gamma$ is the unit circle, using Cauchy's Integral Formula

Published on 25 Mar 2026 - 20:41

score 23 · Answer 2 · 2026-03-25 06:00:14

23

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Expressing a complex contour integral in terms of vector integrals

Published on 25 Mar 2026 - 6:00

score 46 · Answer 3 · 2018-10-02 17:38:47

46

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Integral of a real-valued function with complex solutions

Published on 02 Oct 2018 - 17:38

score 99 · Answer 4 · 2018-10-03 17:23:39

99

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Evaluating $\mathcal{P}\int_0^\infty \frac{dx}{(1 + a^2x^2)(x^2 - b^2)}$

Published on 03 Oct 2018 - 17:23

score 553 · Answer 5 · 2026-03-25 11:00:01

553

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Complex line integral along a parabola

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score 44 · Answer 6 · 2018-10-08 13:31:07

44

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Can we define complex path integration in a particular way.

Published on 08 Oct 2018 - 13:31

score 1.4k · Answer 7 · 2018-10-09 02:53:25

1.4k

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Contour integral of $\frac{\sin z}{(z^2+1)^2}$.

Published on 09 Oct 2018 - 2:53

score 144 · Answer 8 · 2026-03-25 10:59:54

144

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Parameterizing to evaluate a line integral with complex numbers

Published on 25 Mar 2026 - 10:59

score 1.2k · Answer 9 · 2026-03-25 11:00:03

1.2k

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Complex integration along a circle not centered at the origin

Published on 25 Mar 2026 - 11:00

score 46 · Answer 10 · 2018-10-11 23:17:42

46

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De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

Published on 11 Oct 2018 - 23:17

score 478 · Answer 11 · 2018-10-12 07:48:58

478

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A quick question about complex integrals and Cauchy's integral formula

Published on 12 Oct 2018 - 7:48

score 76 · Answer 12 · 2018-10-12 10:31:50

76

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Is there any special function corresponding to $\int_{-1}^1 \frac{1-e^{b(x-a)}}{(x-a)^2}\sqrt{1-x^2}dx$?

Published on 12 Oct 2018 - 10:31

score 63 · Answer 13 · 2018-10-13 01:56:05

63

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Evaluate a complex integral and determine if it contradicts Cauchy's theorem

Published on 13 Oct 2018 - 1:56

score 1.7k · Answer 14 · 2018-10-15 18:47:12

1.7k

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Published on 15 Oct 2018 - 18:47

score 79 · Answer 15 · 2018-10-16 16:18:27

79

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Complex anti-derivative and the path integral property

Published on 16 Oct 2018 - 16:18

List Question

Find $\int_{\gamma} e^zz^n dz$ where $\gamma$ is the unit circle, using Cauchy's Integral Formula

Expressing a complex contour integral in terms of vector integrals

Integral of a real-valued function with complex solutions

Evaluating $\mathcal{P}\int_0^\infty \frac{dx}{(1 + a^2x^2)(x^2 - b^2)}$

Complex line integral along a parabola

Can we define complex path integration in a particular way.

Contour integral of $\frac{\sin z}{(z^2+1)^2}$.

Parameterizing to evaluate a line integral with complex numbers

Complex integration along a circle not centered at the origin

De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

A quick question about complex integrals and Cauchy's integral formula

Is there any special function corresponding to $\int_{-1}^1 \frac{1-e^{b(x-a)}}{(x-a)^2}\sqrt{1-x^2}dx$?

Evaluate a complex integral and determine if it contradicts Cauchy's theorem

Difference real and complex fourier series

Complex anti-derivative and the path integral property

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