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#184 Incomplete result for integrate(log(x+sqrt(1+x^2)),x)

None
open
nobody
integrate (4)
5
2023-05-04
2013-10-22
pagingzhu
No

Should I report a bug here? I can't find a place to report a bug.
the code:

(%i1) integrate(log(x+sqrt(1+x^2)),x);
(%o1) x*log(x + sqrt(x^2 + 1)) - x + arctan(x) - integrate(x/(x^3 + (x^2 + 1)^(3/2) + x), x)
(%i2) integrate(asinh(x),x);
(%o2)                      x asinh(x) - sqrt(x^2 + 1)

As asinh(x)==log(x+sqrt(1+x^2)), why maxima was not able to finish the integration in %i1?I've modified the output to plain text format in a single line.

The Version of my maxima:
Maxima 5.30.0 http://maxima.sourceforge.net
using Lisp GNU Common Lisp (GCL) GCL 2.6.7 (a.k.a. GCL)

Discussion

  • pagingzhu

    pagingzhu - 2013-10-22

    It seems that I have found the right place.

     

    Last edit: pagingzhu 2013-10-22
  • pagingzhu

    pagingzhu - 2013-10-22

    My operating system: Ubuntu 13.10 64bit

     

    Last edit: pagingzhu 2013-10-22
  • Robert Dodier

    Robert Dodier - 2013-11-08
    • labels: BUG --> integration
     
  • Robert Dodier

    Robert Dodier - 2023-05-04

    Ticket moved from /p/maxima/bugs/2646/

     
  • Robert Dodier

    Robert Dodier - 2023-05-04
    • labels: integration --> integrate
    • summary: A BUG for integrate(log(x+sqrt(1+x^2)),x); --> Incomplete result for integrate(log(x+sqrt(1+x^2)),x)
    • Group: None -->
     
  • Robert Dodier

    Robert Dodier - 2023-05-04

    I've moved this ticket to feature-requests since it doesn't appear to be a bug, just an incomplete result. I tried it with a recent build and the result is the same as before.

     

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