[Maxima-bugs] [ maxima-Bugs-1583312 ] integrate(3^log(x), x); => incorrect, but risch => OK

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Bugs item #1583312, was opened at 2006-10-23 21:43
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Category: Lisp Core - Integration
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: Robert Dodier (robert_dodier)
Assigned to: Nobody/Anonymous (nobody)
Summary: integrate(3^log(x), x); => incorrect, but risch => OK

Initial Comment:
integrate(3^log(x), x); =>
3^((1/log(3)+1)*log(x))/((1/log(3)+1)*log(3))
and then ratsimp(diff(%, x)); => 3^(log(x)/log(3)+log(x))/x

but integrate(3^log(x), x), risch;
 => x*%e^(log(3)*log(x))/(log(3)+1)
and then ratsimp(diff(%, x)); => 
%e^(log(3)*log(x))

See discussion on the mailing list 2002/04/05 & following.

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