Question

Is it possible to calculate $\int_0^\pi\frac{dx}{2+\sin^2x}$ without residue theorem

score 84 · Answer 1 · 2022-04-24 15:44:14

84

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Is it possible to calculate $\int_0^\pi\frac{dx}{2+\sin^2x}$ without residue theorem

Published on 24 Apr 2022 - 15:44

score 90 · Answer 2 · 2022-04-24 17:51:25

90

Views

How do I compute the following integral using Cauchy's integral formula?

Published on 24 Apr 2022 - 17:51

score 80 · Answer 3 · 2022-04-24 20:19:27

80

Views

How can I compute the following complex integral?

Published on 24 Apr 2022 - 20:19

score 32 · Answer 4 · 2022-04-25 17:25:26

32

Views

Characterizing functions which satisfy Cauchy integral formula

Published on 25 Apr 2022 - 17:25

score 103 · Answer 5 · 2022-04-28 22:40:38

103

Views

Integral for a piecewise smooth contour in complex plane

Published on 28 Apr 2022 - 22:40

score 73 · Answer 6 · 2022-05-01 19:04:19

73

Views

Let $γ$ be a counter-clockwise path around the unit circle centred at zero. Compute the path integral$\int \frac{(z+1)^{2020}}{z}dz$

Published on 01 May 2022 - 19:04

score 1.3k · Answer 7 · 2026-03-29 16:30:23

1.3k

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$\int _C \frac{\exp(z^2)}{z^2\left(z-1-i\right)}dz$, $C$ consists of $|z|=2$ counterclockwise and $|z|=1$ clockwise.

Published on 29 Mar 2026 - 16:30

score 20 · Answer 8 · 2022-05-09 20:59:45

20

Views

Basic Complex Integration Question on a circle

Published on 09 May 2022 - 20:59

score 37 · Answer 9 · 2022-05-12 17:00:47

37

Views

Is the Cauchy's Theorem valid for a path with multiple points?

Published on 12 May 2022 - 17:00

score 32 · Answer 10 · 2022-05-15 15:04:44

32

Views

Why this integral vanishes for $t\leq 0$?

Published on 15 May 2022 - 15:04

score 78 · Answer 11 · 2022-05-17 06:48:04

78

Views

Evaluate $\int_{\mathcal{C}}\frac{\sin z}{z-\pi/2}\,\mathrm{d}z$

Published on 17 May 2022 - 6:48

score 76 · Answer 12 · 2022-05-18 03:50:41

76

Views

Evaluate $\int_{\mathcal{C}}\frac{e^z}{z^2}\,\mathrm{d}z$

Published on 18 May 2022 - 3:50

score 54 · Answer 13 · 2022-05-19 21:17:10

54

Views

Connection between "Cauchy" delta function and "Fourier" delta function?

Published on 19 May 2022 - 21:17

score 80 · Answer 14 · 2022-05-24 14:14:53

80

Views

Finding unknown from the given complex integral.

Published on 24 May 2022 - 14:14

score 40 · Answer 15 · 2022-05-29 22:58:06

40

Views

Antiderivative of complex function on unit circle

Published on 29 May 2022 - 22:58

List Question

Is it possible to calculate $\int_0^\pi\frac{dx}{2+\sin^2x}$ without residue theorem

How do I compute the following integral using Cauchy's integral formula?

How can I compute the following complex integral?

Characterizing functions which satisfy Cauchy integral formula

Integral for a piecewise smooth contour in complex plane

Let $γ$ be a counter-clockwise path around the unit circle centred at zero. Compute the path integral$\int \frac{(z+1)^{2020}}{z}dz$

$\int _C \frac{\exp(z^2)}{z^2\left(z-1-i\right)}dz$, $C$ consists of $|z|=2$ counterclockwise and $|z|=1$ clockwise.

Basic Complex Integration Question on a circle

Is the Cauchy's Theorem valid for a path with multiple points?

Why this integral vanishes for $t\leq 0$?

Evaluate $\int_{\mathcal{C}}\frac{\sin z}{z-\pi/2}\,\mathrm{d}z$

Evaluate $\int_{\mathcal{C}}\frac{e^z}{z^2}\,\mathrm{d}z$

Connection between "Cauchy" delta function and "Fourier" delta function?

Finding unknown from the given complex integral.

Antiderivative of complex function on unit circle

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