Question

What is the value of the following integral of a quotient of sines?

score 68 · Answer 1 · 2021-04-16 09:30:56

68

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What is the value of the following integral of a quotient of sines?

Published on 16 Apr 2021 - 9:30

score 36 · Answer 2 · 2026-03-30 02:03:54

36

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A question about the Bessel function $I_0$

Published on 30 Mar 2026 - 2:03

score 216 · Answer 3 · 2021-04-19 11:25:41

216

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Integral involving the modified Bessel function of the second kind K_0

Published on 19 Apr 2021 - 11:25

score 110 · Answer 4 · 2026-03-29 12:40:26

110

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Integration of a shifted Gaussian multiplied by a Bessel function

Published on 29 Mar 2026 - 12:40

score 166 · Answer 5 · 2026-03-30 13:39:23

166

Views

Integral of $e^{-k \cosh(z)} \text {sech}(z) \ dz$ from $z=0$ to $z=\infty$

Published on 30 Mar 2026 - 13:39

score 99 · Answer 6 · 2026-03-29 14:07:23

99

Views

${\displaystyle\int_{-\pi}^{\pi} \exp\left(-\frac{1}{2}\left(\frac{2r\sin(x/2)}{\sigma}\right)^2\right) \textrm{d}x}$

Published on 29 Mar 2026 - 14:07

score 90 · Answer 7 · 2021-04-26 12:08:50

90

Views

Diffusion Equation PDE with position dependent D

Published on 26 Apr 2021 - 12:08

score 44 · Answer 8 · 2021-04-27 19:21:57

44

Views

Taking the derivative under the integral

Published on 27 Apr 2021 - 19:21

score 259 · Answer 9 · 2026-03-29 12:50:42

259

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Perturbation solution in a Bessel equation

Published on 29 Mar 2026 - 12:50

score 77 · Answer 10 · 2021-05-01 16:08:06

77

Views

How can you solve $r^2v^{\prime\prime} + (n-1)rv^\prime + r^2v=0$?

Published on 01 May 2021 - 16:08

score 56 · Answer 11 · 2021-05-03 09:13:03

56

Views

$\int_0^\infty \exp\left(-\frac{a^2}{x^2}\right) I_0\left(\frac{a^2}{x^2}\right) \textrm{d}x$

Published on 03 May 2021 - 9:13

score 46 · Answer 12 · 2021-05-06 13:22:03

46

Views

Determinants of differential equation matrices are complex

Published on 06 May 2021 - 13:22

score 93 · Answer 13 · 2026-04-02 08:16:37

93

Views

Where are the Bessel functions in $\int_{0}^{2\pi}\int_{0}^{2\pi}e^{i\alpha[\sin(\theta)-\sin(\varphi)]}d\theta d\varphi$?

Published on 02 Apr 2026 - 8:16

score 72 · Answer 14 · 2026-04-01 14:24:51

72

Views

Follow the steps to solve the problem: $u_t = \alpha^2 (u_{xx} +u_{yy}), \hspace{0.5cm} (x,y) \in D=\{ (x,y) \in \mathbb{R}^2 \colon x^2 + y^2 < 1\}$

Published on 01 Apr 2026 - 14:24

score 80 · Answer 15 · 2021-05-13 12:46:41

80

Views

Integrate $\int_0^1 J_0(a r) J_1(b r) dr$

Published on 13 May 2021 - 12:46

List Question

What is the value of the following integral of a quotient of sines?

A question about the Bessel function $I_0$

Integral involving the modified Bessel function of the second kind K_0

Integration of a shifted Gaussian multiplied by a Bessel function

Integral of $e^{-k \cosh(z)} \text {sech}(z) \ dz$ from $z=0$ to $z=\infty$

${\displaystyle\int_{-\pi}^{\pi} \exp\left(-\frac{1}{2}\left(\frac{2r\sin(x/2)}{\sigma}\right)^2\right) \textrm{d}x}$

Diffusion Equation PDE with position dependent D

Taking the derivative under the integral

Perturbation solution in a Bessel equation

How can you solve $r^2v^{\prime\prime} + (n-1)rv^\prime + r^2v=0$?

$\int_0^\infty \exp\left(-\frac{a^2}{x^2}\right) I_0\left(\frac{a^2}{x^2}\right) \textrm{d}x$

Determinants of differential equation matrices are complex

Where are the Bessel functions in $\int_{0}^{2\pi}\int_{0}^{2\pi}e^{i\alpha[\sin(\theta)-\sin(\varphi)]}d\theta d\varphi$?

Follow the steps to solve the problem: $u_t = \alpha^2 (u_{xx} +u_{yy}), \hspace{0.5cm} (x,y) \in D=\{ (x,y) \in \mathbb{R}^2 \colon x^2 + y^2 < 1\}$

Integrate $\int_0^1 J_0(a r) J_1(b r) dr$

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