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From: SourceForge.net <noreply@so...>  20110313 11:07:32

Bugs item #3199638, was opened at 20110304 16:07 Message generated for change (Comment added) made by ssllvv You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3199638&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core  Simplification Group: None Status: Open Resolution: None Priority: 5 Private: No Submitted By: dstanislav (ssllvv) Assigned to: Nobody/Anonymous (nobody) Summary: integrate_sqrt_of_trig Initial Comment: (%i1) integrate(sqrt(1cos(x)^2),x,0,%pi/2); (%o1)  1 ( right answer: 1 ) (%i2) integrate(sqrt(1sin(x)^2),x,0,%pi/2); Is tan(x) positive or negative?p; (%o2)  1 ( right answer: 1 )  Maxima version: 5.23.2 Maxima build date: 17:9 1/17/2011 Host type: i686pcmingw32 Lisp implementation type: GNU Common Lisp (GCL) Lisp implementation version: GCL 2.6.8   >Comment By: dstanislav (ssllvv) Date: 20110313 13:07 Message: Unfortunately, option radexpand:false does not give a right results: (%i1) radexpand:false; (%o1) false(%i2) integrate(sqrt(1cos(x)^2),x,0,%pi); (%o2) 0 (wrong) (%i3) integrate(abs(sin(x)),x,0,%pi); (%o3) 2 (right, but occasionally) (%i4) integrate(sqrt(1cos(x)^2),x,0,2*%pi); (%o4) 0 (wrong) (%i5) integrate(abs(sin(x)),x,0,2*%pi); (%o5) 0 (wrong) (%i6) wxplot2d(sqrt(1cos(t)^2),[t,0,2*%pi],[x,1,7],[y,2,2]); (%t6) << Graphics >> (%i7) integrate(sqrt(1sin(x)^2),x,0,%pi); (%o7) 0 (wrong) (%i8) integrate(abs(cos(x)),x,0,%pi); (%o8) integrate(abs(cos(x)),x,0,%pi) (no action)  Comment By: Dieter Kaiser (crategus) Date: 20110312 22:35 Message: Both examples are correct, when setting the option variable radexpand to false: (%i1) radexpand:false$ (%i2) integrate(sqrt(1cos(x)^2),x,0,%pi/2); (%o2) 1 (%i3) integrate(sqrt(1sin(x)^2),x,0,%pi/2); (%o3) 1 By the way, the indefinite integrals are more correct too: (%i4) integrate(sqrt(1cos(x)^2),x); (%o4) 1/sqrt(tan(x)^2+1) (%i5) integrate(sqrt(1sin(x)^2),x); (%o5) tan(x)/sqrt(tan(x)^2+1) I think it is a general problem, that the option variable radexpand introduces wrong simplifications. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3199638&group_id=4933 