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From: SourceForge.net <noreply@so...>  20060901 21:12:36

Bugs item #1044318, was opened at 20041010 23:40 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1044318&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  Integration Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: defint(1/(sin(x)^2+1),x,0,3*%pi) wrong Initial Comment: INTEGRATE(1/(SIN(x)^2+1),x,0,3*%PI) => 0 Since the integrand is everywhere >= 1/2, the integral cannot be zero  in fact integrate(1/(sin(x)^2+1),x,q,q+k*%pi) = k*pi/sqrt(2) (real q, integral k) Presumably defint is using the indefinite integral atan(2*tan(x)/sqrt(2))/sqrt(2) inappropriately.  >Comment By: Raymond Toy (rtoy) Date: 20060901 17:12 Message: Logged In: YES user_id=28849 I think the problem is caused by INFR. I think it's supposed to compute how many full periods and fractional periods are in the integral, but it does it incorrectly. The following replacement: (defun infr (a) (let* ((q (igprt (div a (mul 2 '$%pi)))) (r (add a (mul 1 (mul q 2 '$%pi))))) (cons q r))) works much better for this example, and we get 3*pi/sqrt(2), as expected. In the results shown by Robert, ratsimp produces zero because atan is using the principal result, but defint is trying to tell you to be careful by returning atan(sqrt(2)*tan(3*%pi))...  Comment By: Robert Dodier (robert_dodier) Date: 20060730 23:46 Message: Logged In: YES user_id=501686 Observed in 5.9.3cvs. I find defint(1/(sin(x)^2+1),x,0,3*%pi); => sqrt(2)*atan(sqrt(2)*tan(3*%pi))/2 sqrt(2)*atan(sqrt(2)*tan(0))/2 but then ratsimp(%) => 0 .  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1044318&group_id=4933 
From: SourceForge.net <noreply@so...>  20060901 18:17:19

Bugs item #1547769, was opened at 20060828 05:36 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1547769&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  Integration Group: None >Status: Closed >Resolution: Fixed Priority: 5 Submitted By: Ralf Stephan (rwst) Assigned to: Nobody/Anonymous (nobody) Summary: integrate(sqrt(x^3/(2*ax)),x,0,2*a); ==> internal error Initial Comment: (%i1) integrate(sqrt(x^3/(2*ax)),x,0,2*a); Is a positive, negative, or zero? pos; `sign' called on an imaginary argument: %i  an error. Quitting. To debug this try debugmode(true); (%i2) AFAIK, this indefinite integral should have a definite value.  >Comment By: Raymond Toy (rtoy) Date: 20060901 14:17 Message: Logged In: YES user_id=28849 Closing report. Maxima doesn't have the bug, and bata0 has been modified (defint.lisp, rev 1.27) to recognize this form and evaluate it correctly.  Comment By: Raymond Toy (rtoy) Date: 20060831 16:14 Message: Logged In: YES user_id=28849 Maxima can't evaluate the integral, but it can evaluate the equivalent integral integrate(sqrt(x^3)/sqrt(2*ax),x,0,2*a). The problem is bata0 doesn't recognize that sqrt(x^3/(2*ax)) has the form x^kk*(b*x^n+a)^l.  Comment By: Raymond Toy (rtoy) Date: 20060830 17:12 Message: Logged In: YES user_id=28849 I tried this with CVS maxima. I don't get the error; the integral is returned. Not sure if maxima should be able to evaluate this integral or not, though. It currently can't.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1547769&group_id=4933 
From: SourceForge.net <noreply@so...>  20060901 18:11:36

Bugs item #754823, was opened at 20030615 05:59 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=754823&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  Integration Group: None >Status: Closed >Resolution: Works For Me Priority: 5 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: integrate(x^2/sqrt(1x^2)/(1+x^2)) wrong Initial Comment: Maxima gives wrong result on the following integrands, x^2/sqrt(1x^2)/(1+a^2*x^2), x^2*sqrt(1x^2)/(1+a^2*x^2) and related ones asin(x)*x/(1+a^2*x^2), acos(x)*x/(1+a^2*x^2), acot(x)*x/(1+a^2*x^2), V.Pipin pip@...  >Comment By: Raymond Toy (rtoy) Date: 20060901 14:11 Message: Logged In: YES user_id=28849 Closing this report. We don't give wrong results.  Comment By: Raymond Toy (rtoy) Date: 20060410 11:31 Message: Logged In: YES user_id=28849 Current maxima returns the noun form of all of these integrals.  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=754823&group_id=4933 