Question

Elliptical Integral: Finding $I= \int \sqrt{1-k^2\sin^2(x)} \cos^2(x) dx $

score 551 · Answer 1 · 2016-09-25 08:23:53

551

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Elliptical Integral: Finding $I= \int \sqrt{1-k^2\sin^2(x)} \cos^2(x) dx $

Published on 25 Sep 2016 - 8:23

score 255 · Answer 2 · 2016-09-26 14:29:34

255

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Get coordinates of function based on arc length

Published on 26 Sep 2016 - 14:29

score 89 · Answer 3 · 2016-09-30 01:12:32

89

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Is there an exact solution to the differential equation: $\frac{d^2x}{dt^2} = -a\sinh(x)$?

Published on 30 Sep 2016 - 1:12

score 162 · Answer 4 · 2016-10-14 00:55:34

162

Views

Weierstrass $\wp$ function inverts incomplete elliptic integral

Published on 14 Oct 2016 - 0:55

score 1.9k · Answer 5 · 2026-03-21 23:39:14

1.9k

Views

Analytical continuation of complete elliptic integral of the first kind

Published on 21 Mar 2026 - 23:39

score 1.4k · Answer 6 · 2016-11-11 17:48:22

1.4k

Views

What is the relationship between pi and Feigenbaum's constant?

Published on 11 Nov 2016 - 17:48

score 457 · Answer 7 · 2016-12-01 02:24:31

457

Views

Accurate identities related to $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^3}x^n$ and $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^4}x^n$

Published on 01 Dec 2016 - 2:24

score 264 · Answer 8 · 2016-12-03 14:52:34

264

Views

Elliptic Integral

Published on 03 Dec 2016 - 14:52

score 218 · Answer 9 · 2016-12-09 21:07:40

218

Views

Geometry of Elliptic curves

Published on 09 Dec 2016 - 21:07

score 275 · Answer 10 · 2016-12-15 12:02:32

275

Views

Reduction of elliptic integrals of special type.

Published on 15 Dec 2016 - 12:02

score 109 · Answer 11 · 2016-12-15 18:45:01

109

Views

Prove $ \int_{-\pi/2}^{\pi/2} \frac{d\theta}{\sqrt{(3-\sin \theta)^2-1}} = \frac 2 3 K(2/3) $

Published on 15 Dec 2016 - 18:45

score 304 · Answer 12 · 2016-12-16 18:02:01

304

Views

definite integral of elliptic integral of first kind

Published on 16 Dec 2016 - 18:02

score 79 · Answer 13 · 2016-12-28 20:21:14

79

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Indefinite integral with trigonometric functions under square root

Published on 28 Dec 2016 - 20:21

score 1k · Answer 14 · 2017-01-21 05:51:12

1k

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Interesting closed form for $\int_0^{\frac{\pi}{2}}\frac{1}{\left(\frac{1}{3}+\sin^2{\theta}\right)^{\frac{1}{3}}}\;d\theta$

Published on 21 Jan 2017 - 5:51

score 103 · Answer 15 · 2017-01-22 15:17:16

103

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integrand containing two different radicals: elliptic integral?

Published on 22 Jan 2017 - 15:17

List Question

Elliptical Integral: Finding $I= \int \sqrt{1-k^2\sin^2(x)} \cos^2(x) dx $

Get coordinates of function based on arc length

Is there an exact solution to the differential equation: $\frac{d^2x}{dt^2} = -a\sinh(x)$?

Weierstrass $\wp$ function inverts incomplete elliptic integral

Analytical continuation of complete elliptic integral of the first kind

What is the relationship between pi and Feigenbaum's constant?

Accurate identities related to $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^3}x^n$ and $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^4}x^n$

Elliptic Integral

Geometry of Elliptic curves

Reduction of elliptic integrals of special type.

Prove $ \int_{-\pi/2}^{\pi/2} \frac{d\theta}{\sqrt{(3-\sin \theta)^2-1}} = \frac 2 3 K(2/3) $

definite integral of elliptic integral of first kind

Indefinite integral with trigonometric functions under square root

Interesting closed form for $\int_0^{\frac{\pi}{2}}\frac{1}{\left(\frac{1}{3}+\sin^2{\theta}\right)^{\frac{1}{3}}}\;d\theta$

integrand containing two different radicals: elliptic integral?

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