#35 integral of acos (x-1)

closed
nobody
None
5
2012-11-12
2012-07-24
Anonymous
No

The integral of acos (x-1) is not computed. (tested with psl version built from trunk, revision 1727)

int(acos(x-1),x) returns int(acos(x-1),x)

However

int(acos(x-a),x) returns " - acos( - a + x)*a + acos( - a + x)*x - sqrt( - a^2 + 2*a*x - x^2 + 1).

Discussion

  • Rainer Schöpf

    Rainer Schöpf - 2012-07-24

    Interesting....

    acos is integrated using heuristics to choose a suitable substitution. For a=1, the -a^2+1 in the sqrt simplifies to 0, and a different substitution is selected.

    We have to think about this.

    Rainer

     
  • Rainer Schöpf

    Rainer Schöpf - 2012-07-25

    I added a committed a fix, by adding a couple of integration rules.

    Rainer

     
  • Rainer Schöpf

    Rainer Schöpf - 2012-07-25
    • status: open --> open-fixed
     
  • Rainer Schöpf

    Rainer Schöpf - 2012-11-12
    • status: open-fixed --> closed-fixed
     

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