#44 Integral Enhancement

open
nobody
None
5
2012-11-18
2007-09-03
No

Can 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)

Discussion


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