List questions from elliptic-integrals

Published on 15 Sep 2015 - 20:09

124

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How to compute $\int _0^{2\pi }(1-\cos t)(\frac{5}{4}-\cos t)^{-3/2}\,dt$

Published on 21 Oct 2015 - 18:45

147

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Differentiating a period of an elliptic curve under the integral sign

Published on 23 Mar 2026 - 0:41

67

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Integral Solution

Published on 26 Mar 2026 - 17:26

167

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Derivative of the quotient of 2 elliptic integrals of the first kind

Published on 03 Mar 2026 - 7:15

1.2k

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The term “elliptic”

Published on 26 Mar 2026 - 3:23

274

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The elliptic integral $\frac{K'}{K}=\sqrt{2}-1$ is known in closed form?

Published on 30 Nov 2015 - 20:10

1.1k

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Elliptic Integrals

Published on 25 Mar 2026 - 20:39

144

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Elliptical Integral that diverges at one point

Published on 08 Mar 2026 - 1:55

4.5k

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Numerically solving the equation of a simple pendulum with Runge-Kutta.

Published on 23 Mar 2026 - 0:35

1.5k

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Solving $\int_0^{\pi/2} \sin^2\theta \sqrt{1-k^2\sin^2 \theta}d\theta $

Published on 07 Feb 2016 - 19:07

49

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Evaluate $\int\frac{(-x_{0}+R\cos(\theta))\,d\theta}{\left((-x_{0}+R\cos(\theta))^2+(-R\sin(\theta))^2\right)^{3/2}}$

Published on 14 Feb 2016 - 19:02

134

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Computing the period via elliptical integral

Published on 22 Feb 2016 - 20:57

214

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May I know how this integral was evaluated by using the theory of elliptic integrals?

Published on 23 Feb 2016 - 15:28

948

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An elliptic integral?

Published on 23 Mar 2026 - 13:33

List Question

Question about specific arclength over an ellipse problem

How to compute $\int _0^{2\pi }(1-\cos t)(\frac{5}{4}-\cos t)^{-3/2}\,dt$

Differentiating a period of an elliptic curve under the integral sign

Integral Solution

Derivative of the quotient of 2 elliptic integrals of the first kind

The term “elliptic”

The elliptic integral $\frac{K'}{K}=\sqrt{2}-1$ is known in closed form?

Elliptic Integrals

Elliptical Integral that diverges at one point

Numerically solving the equation of a simple pendulum with Runge-Kutta.

Solving $\int_0^{\pi/2} \sin^2\theta \sqrt{1-k^2\sin^2 \theta}d\theta $

Evaluate $\int\frac{(-x_{0}+R\cos(\theta))\,d\theta}{\left((-x_{0}+R\cos(\theta))^2+(-R\sin(\theta))^2\right)^{3/2}}$

Computing the period via elliptical integral

May I know how this integral was evaluated by using the theory of elliptic integrals?

An elliptic integral?

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