Menu
▾
▴
#1939 integrate(x*(cos(x/2)),x)
integrate(x*(cos(x/2)),x)
and
f(n):=expand(integrate(x*(n+cos(x/2)),x)-integrate(n*x,x));
are same function
but...
When n are even numbers, results are always 1/2
(%i2) f(1);
(%o2) 2*x*sin(x/2)+4*cos(x/2)
(%i3) f(2);
(%o3) x*sin(x/2)+2*cos(x/2)
(%i4) f(3);(%o4) 2*x*sin(x/2)+4*cos(x/2)
(%i5) f(4);
*****
if f(n) is defined as
f(n):=expand(integrate(x*n+x*cos(x/2),x)-integrate(n*x,x))
f(n) gives always correct answer.
(%o5) x*sin(x/2)+2*cos(x/2)
What version are you using?
Current CVS gives f(n) gives 2*x*sin(x/2)+4*cos(x/2).
Marking as pending/worksforme
Yes, I checked using newest version.
Ｔｈｉｓ bug has been fixed in version
Maxima 5.20.1 http://maxima.sourceforge.net
using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (a.k.a. GCL)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
＊＊＊＊＊＊＊＊＊＊＊
first version is
Maxima version: 5.15.0
Maxima build date: 17:36 4/20/2008
host type: i686-pc-mingw32
lisp-implementation-type: GNU Common Lisp (GCL)
lisp-implementation-version: GCL 2.6.8