New posts in Elliptic Integrals

Evaluating $\int_{0}^{\pi} \frac{1}{\sqrt{u^2+2u\cos x +1}} \mathrm{d}x$

Prove that $_4F_3\left(\frac13,\frac13,\frac23,\frac23;1,\frac43,\frac43;1\right)=\frac{\Gamma \left(\frac13\right)^6}{36 \pi ^2}$

Integral involving elliptic integral functions

What even *are* elliptic functions?

Closed form of an improper integral to solve the period of a dynamical system

How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

Finding $\int\frac{x^2-1}{\sqrt{x^4+x^2+1}}$

The integral of an elliptic integral: $\int_{0}^{1}\frac{x\mathbf{K}^2\left ( x \right )}{\sqrt{1-x^{2}}}\mathrm{d}x$

Evaluation of Integral $\int \frac{x^2+1}{\sqrt{x^3+3}}dx$

Asymptotics of $\operatorname{agm}(1,x)$ when $x\to\infty$