Recent changes to 44: Integral Enhancementhttps://sourceforge.net/p/maxima/feature-requests/44/2007-09-03T15:42:49ZIntegral Enhancement2007-09-03T15:42:49Z2007-09-03T15:42:49ZRobert M. Elowitzhttps://sourceforge.net/u/elowitzr/https://sourceforge.net002770fe81a95bf658116ee5a11dd673250f8442Can you enhance Maxima to enable it to carry out indefinite integrals such as
integrate\(1/sqrt\(x^3+1\), x\)
This integral can be performed using Maple 10 or 11 in terms of elliptic functions.
Maple 10 gives the resulting integral as:
2\*\(3/2-\(1/2\)\*I\*sqrt\(3\)\)\*sqrt\(\(x+1\)/\(3/2-\(1/2\)\*I\*
sqrt\(3\)\)\)\*sqrt\(\(x-1/2-\(1/2\)\*I\*sqrt\(3\)\)/\(-3/2-\(1/2\)\*I\*
sqrt\(3\)\)\)\*sqrt\(\(x-1/2+\(1/2\)\*I\*sqrt\(3\)\)/\(-3/2+\(1/2\)\*I\*
sqrt\(3\)\)\)\*EllipticF\(sqrt\(\(x+1\)/\(3/2-\(1/2\)\*I\*sqrt\(3\)\)\), sqrt\(\(-3/2+\(1/2\)\*I\*sqrt\(3\)\)/\(-3/2-\(1/2\)\*I\*
sqrt\(3\)\)\)\)/sqrt\(x^3+1\)