Changes between Initial Version and Version 2 of Ticket #18822


Ignore:
Timestamp:
04/22/18 13:11:41 (20 months ago)
Author:
rws
Comment:

That's right. Elliptic E and F functions with argument containing inverse trig function may already appear as solution to integral(1/sqrt(a+b*x^3), x).

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  • Ticket #18822

    • Property Summary changed from integral with sqrt*sqrt unsolved while solved when expanded to integral with sqrt*sqrt unsolved
  • Ticket #18822 – Description

    initial v2  
    22sage: integral(sqrt(x-1)*sqrt(1/x-1/4))
    33integrate(sqrt(x - 1)*sqrt(1/x - 1/4), x)
    4 
    5 sage: integrate(sqrt(-1/4*x^2 + 5/4*x - 1)/x^2)
    6 -sqrt(-1/4*x^2 + 5/4*x - 1)/x + 1/2*arcsin(-2/3*x + 5/3) + 5/8*arcsin(5/3*x/abs(x) - 8/3/abs(x))
    74}}}
    85This came up in