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#2586 integrate(logarc(atan2(a,b)),a) --> error

None
open
nobody
5
2013-08-01
2013-06-03
Barton Willis
No
(%i11) integrate(log((b+%i*a)/sqrt(b^2+a^2)),b);
expt: undefined: 0 to a negative exponent.

(%i12) integrate(log((b+%i*a)/sqrt(b^2+a^2)),a);
expt: undefined: 0 to a negative exponent.

Also:

(%i7) logarc(atan2(a,b));
(%o7) -%i*log((b+%i*a)/sqrt(b^2+a^2))

Discussion

  • Robert Dodier
    Robert Dodier
    2013-08-01

    • labels: --> Lisp Core - Integration
    • Description has changed:

    Diff:

    --- old
    +++ new
    @@ -1,11 +1,15 @@
    +~~~~
     (%i11) integrate(log((b+%i*a)/sqrt(b^2+a^2)),b);
     expt: undefined: 0 to a negative exponent.
    
     (%i12) integrate(log((b+%i*a)/sqrt(b^2+a^2)),a);
     expt: undefined: 0 to a negative exponent.
    +~~~~
    
     Also:
    
    +~~~~
     (%i7) logarc(atan2(a,b));
     (%o7) -%i*log((b+%i*a)/sqrt(b^2+a^2))
    +~~~~