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#538 integral: general case handled, not special

closed
nobody
5
2007-06-13
2004-03-16
Stavros Macrakis
No

assume(b>1)$
integrate(1/(cos(a*x)+b),x);

works

but
integrate(1/(cos(4*x)+3),x);

does not, even though it is just the first case with
a=b=2.

It turns out that 4/(cos(4*x)+3) == 1/(sin(x)^4+cos(x)
^4). The sin(x)^4 form integrates, but the cos(4*x)
form doesn't....

Discussion

  • Robert Dodier
    Robert Dodier
    2006-04-10

    • labels: --> Lisp Core - Integration
     
  • Harald Geyer
    Harald Geyer
    2007-06-08

    Logged In: YES
    user_id=929336
    Originator: NO

    I have tested this and similiar cases under 5.11.0 und 5.12.0 both
    Clisp. I can reproduce the problem with 5.11.0 but 5.12.0 seems
    to work and yield correct results for this and similiar cases.

    I think this bug report can be closed.

    Regards,
    Harald

     
  • Raymond Toy
    Raymond Toy
    2007-06-13

    Logged In: YES
    user_id=28849
    Originator: NO

    I agree. Closing this bug report.

     
  • Raymond Toy
    Raymond Toy
    2007-06-13

    • status: open --> closed