[Maxima-bugs] [ maxima-Bugs-3386573 ] integrate problems

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Bugs item #3386573, was opened at 2011-08-05 09:59
Message generated for change (Tracker Item Submitted) made by aleksasd
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Category: Lisp Core - Integration
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: Aleksas (aleksasd)
Assigned to: Nobody/Anonymous (nobody)
Summary: integrate problems

Initial Comment:
 (%i1) integrate(log(cos(x)),x,0,%pi/2);
defint: integral is divergent.
 -- an error. To debug this try: debugmode(true);
 The result should be  -1/2*%pi*log(2)

(%i2) integrate(log(2*cos(x)),x,0,%pi/2);
defint: integral is divergent.
 -- an error. To debug this try: debugmode(true);
 The result should be 0

(%i3) integrate(log(sin(2*x)),x,0,%pi/2);
defint: integral is divergent.
 -- an error. To debug this try: debugmode(true);
 The result should be  -1/2*%pi*log(2)

(%i4) integrate(log(sin(x)),x,0,%pi/2);
(%o4) integrate(log(sin(x)),x,0,%pi/2)
 The result should be  -1/2*%pi*log(2)

(%i5) integrate(x*cot(x),x,0,%pi/2);
(%o5) integrate(x*cot(x),x,0,%pi/2)
 The result should be  1/2*%pi*log(2)

(%i6) integrate(x^2/sin(x)^2,x,0,%pi/2);
(%o6) integrate(x^2/sin(x)^2,x,0,%pi/2)
 The result should be  %pi*log(2)

(%i7) integrate(asin(x)/x,x,0,1);
(%o7) integrate(asin(x)/x,x,0,1)
 The result should be  1/2*%pi*log(2)

(%i8) build_info()$
Maxima version: 5.25.0
Maxima build date: 12:0 8/2/2011
Host type: i686-pc-mingw32
Lisp implementation type: Clozure Common Lisp
Lisp implementation version: Version 1.7-r14925M  (WindowsX8632)

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