ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 10 Apr 2019 00:56:34 +0200Elliptic Integral Bug?https://ask.sagemath.org/question/46072/elliptic-integral-bug/ Hi,
How did Sage come up with a nice answer when being asked to compute the following elliptic integral of the second kind?
$$\int \sqrt{1-(1/2)\sin^2(x)}dx$$
Using *integral(f(x),x)*, SageMathCell returns:
$$-\frac{\sqrt{2}}{48}(\sin(3x)-\sin(x))$$
Here is [the link](https://sagecell.sagemath.org/?z=eJxL06jQtC0uLCrRMNTVMNQ30tQqzswDisUZaXIVZ-SXa6QBOZpcXJ62mXklqelFiTlgEZ0KqLSnJgCBUBNa&lang=sage&interacts=eJyLjgUAARUAuQ==).
Is it my maths, or is it bug?
Thanks,
Julien
JulienWed, 10 Apr 2019 00:56:34 +0200https://ask.sagemath.org/question/46072/