List questions from elliptic-integrals

Published on 26 Feb 2021 - 15:04

58

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Second-order ODE with four regular singular points in terms of Elliptics

Published on 26 Feb 2021 - 17:44

387

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Equality of two elliptic integrals

Published on 05 Mar 2021 - 22:45

60

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Can the perimeter of ellipse be expressed by a matrix exponential

Published on 11 Mar 2021 - 19:37

333

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Does $\int_0^{2\pi} \sqrt{(1-a\cos x)^2 + b} \mathrm{d}x$ evaluate in terms of elliptic integrals?

Published on 13 Mar 2021 - 16:42

260

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On the asymptotic behavior of Elliptic integral near $k=1$

Published on 16 Mar 2021 - 12:37

158

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How do I find the exact solution to complete elliptic integral of the second kind?

Published on 20 Mar 2021 - 15:57

81

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Need help integrating a trigonometric function over an interval

Published on 31 Mar 2021 - 1:35

73

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How do I find the answer to complete elliptic integral of the second kind without computer (i.e. with paper and pen)?

Published on 01 Apr 2021 - 15:32

156

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$\int\cos(2 x) \sqrt{\sin^2(x) + 1}\, dx$

Published on 13 Apr 2021 - 11:39

173

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Defining the Jacobi amplitude when the elliptic module is greater than 1

Published on 27 Mar 2026 - 19:32

711

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Integral of square root of a quartic polynomial

Published on 03 May 2021 - 11:36

81

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Finding the elliptic function that maps a triangle to the unit circle

Published on 27 Mar 2026 - 17:51

112

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$\int \frac{dx}{\sqrt{|(x-a_1)(x-a_2)(x-a_3)|}}$

Published on 27 May 2021 - 20:47

219

Views

integral $\int_{0}^{2\pi} \sqrt{\sin^4\theta+\sin^2\theta+2}\,d \theta$

Published on 27 May 2021 - 23:11

List Question

Transforming an elliptic integral with arbitrary coefficients and imaginary roots

Second-order ODE with four regular singular points in terms of Elliptics

Equality of two elliptic integrals

Can the perimeter of ellipse be expressed by a matrix exponential

Does $\int_0^{2\pi} \sqrt{(1-a\cos x)^2 + b} \mathrm{d}x$ evaluate in terms of elliptic integrals?

On the asymptotic behavior of Elliptic integral near $k=1$

How do I find the exact solution to complete elliptic integral of the second kind?

Need help integrating a trigonometric function over an interval

How do I find the answer to complete elliptic integral of the second kind without computer (i.e. with paper and pen)?

$\int\cos(2 x) \sqrt{\sin^2(x) + 1}\, dx$

Defining the Jacobi amplitude when the elliptic module is greater than 1

Integral of square root of a quartic polynomial

Finding the elliptic function that maps a triangle to the unit circle

$\int \frac{dx}{\sqrt{|(x-a_1)(x-a_2)(x-a_3)|}}$

integral $\int_{0}^{2\pi} \sqrt{\sin^4\theta+\sin^2\theta+2}\,d \theta$

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