List questions from elliptic-integrals

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Expressing the integral $\int_{0}^{1}\frac{\mathrm{d}x}{\sqrt{\left(1-x^3\right)\left(1-a^6x^3\right)}}$ in terms of elliptic integrals

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Proving that $\sum_{k=0}^\infty\frac{2^{-5k}(6k+1)((2k-1)!!)^3}{4(k!)^3} = {1\over\pi}$

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integral of a function bounded over an elliptic area

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Closed-form of sums from Fourier series of $\sqrt{1-k^2 \sin^2 x}$

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Calculate $\int_{0}^t (0.3(1+x)^3+0.7)^{-1/2}\,dx$

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An elliptic integral of first kind expresses the time of motion along an elliptic phase curve in the corresponding Hamiltonian system

Published on 25 Dec 2014 - 12:22

List Question

Fourier series of $\sqrt{1 - k^2 \sin^2{t}}$

Find similar estimate for complex numbers

Double Integral Query

Further integrals of the seemingly unintegrable

Expressing the integral $\int_{0}^{1}\frac{\mathrm{d}x}{\sqrt{\left(1-x^3\right)\left(1-a^6x^3\right)}}$ in terms of elliptic integrals

Finding the inverse of an integral

Is this integral reducible to an elliptic integral?

Proving that $\sum_{k=0}^\infty\frac{2^{-5k}(6k+1)((2k-1)!!)^3}{4(k!)^3} = {1\over\pi}$

integral of a function bounded over an elliptic area

Finding the length of an elliptical spiral

Closed-form of sums from Fourier series of $\sqrt{1-k^2 \sin^2 x}$

Calculate $\int_{0}^t (0.3(1+x)^3+0.7)^{-1/2}\,dx$

Reducing integral

Complete Elliptical Integral for the parameters greater than 1 or less than -1

An elliptic integral of first kind expresses the time of motion along an elliptic phase curve in the corresponding Hamiltonian system

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