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From: SourceForge.net <noreply@so...>  20100118 13:57:32

Bugs item #2934291, was opened at 20100118 16:40 Message generated for change (Tracker Item Submitted) made by kirzhanov You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&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 Private: No Submitted By: Dmitry Kirzhanov (kirzhanov) Assigned to: Nobody/Anonymous (nobody) Summary: Maxima does not integrate a real power of sin/cos Initial Comment: I try to integrate a function cos(t)^0.5 and receive no definite result (the result is the same as output). If I try to integrate function cos(t)^delta I receive this error: Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Maxima encountered a Lisp error: Error in CONDITIONS::CLCSUNIVERSALERRORHANDLER [or a callee]: Caught fatal error [memory may be damaged] Automatically continuing. To reenable the Lisp debugger set *debuggerhook* to nil. It seems that the antiderivative of cos(t)^delta can be calculated using hypergeometric function. Maxima version info: Maxima version: 5.17.1 Maxima build date: 14:9 7/13/2009 host type: i686pclinuxgnu lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.7  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&group_id=4933 
From: SourceForge.net <noreply@so...>  20100119 15:52:25

Bugs item #2934291, was opened at 20100118 14:40 Message generated for change (Comment added) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&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: Pending Resolution: None Priority: 5 Private: No Submitted By: Dmitry Kirzhanov (kirzhanov) Assigned to: Nobody/Anonymous (nobody) Summary: Maxima does not integrate a real power of sin/cos Initial Comment: I try to integrate a function cos(t)^0.5 and receive no definite result (the result is the same as output). If I try to integrate function cos(t)^delta I receive this error: Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Maxima encountered a Lisp error: Error in CONDITIONS::CLCSUNIVERSALERRORHANDLER [or a callee]: Caught fatal error [memory may be damaged] Automatically continuing. To reenable the Lisp debugger set *debuggerhook* to nil. It seems that the antiderivative of cos(t)^delta can be calculated using hypergeometric function. Maxima version info: Maxima version: 5.17.1 Maxima build date: 14:9 7/13/2009 host type: i686pclinuxgnu lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.7  >Comment By: Dieter Kaiser (crategus) Date: 20100119 16:52 Message: There are two issues: 1. Maxima does not know the general solution of integrate(cos(x)^y,x) in terms of a hypergeometric function 2F1 and Maxima does not know solutions of this integrals for y a rational number. A general solution might be: sin(x)*cos(x)^(y+1)*2F1(1/2, (y+1)/2; (y+3)/2; cos(x)^2) /(y+1)/sqrt(sin(x)^2) All these integrals return an unevaluated noun form. This is a missing feature of Maxima. I think it is not a bug. 2. The error message for one of the integrals is a known problem with the debian distribution of Maxima 5.17.1 which is compiled with GCL 2.6.7. It is not a problem of Maxima. The debian distrubtion does not work. Please try to get a working distribution, e.g. from sourceforge.net. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&group_id=4933 
From: SourceForge.net <noreply@so...>  20100120 11:39:13

Bugs item #2934291, was opened at 20100118 16:40 Message generated for change (Settings changed) made by kirzhanov You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&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 Private: No Submitted By: Dmitry Kirzhanov (kirzhanov) Assigned to: Nobody/Anonymous (nobody) Summary: Maxima does not integrate a real power of sin/cos Initial Comment: I try to integrate a function cos(t)^0.5 and receive no definite result (the result is the same as output). If I try to integrate function cos(t)^delta I receive this error: Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Maxima encountered a Lisp error: Error in CONDITIONS::CLCSUNIVERSALERRORHANDLER [or a callee]: Caught fatal error [memory may be damaged] Automatically continuing. To reenable the Lisp debugger set *debuggerhook* to nil. It seems that the antiderivative of cos(t)^delta can be calculated using hypergeometric function. Maxima version info: Maxima version: 5.17.1 Maxima build date: 14:9 7/13/2009 host type: i686pclinuxgnu lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.7  >Comment By: Dmitry Kirzhanov (kirzhanov) Date: 20100120 14:39 Message: crategus, thank you for the explanation. Can you interpret this bug report as a feature request? BTW, would you be so kind to give a reference to any source (a handbook, i.e.) which explains how to deal with such integrals?  Comment By: Dieter Kaiser (crategus) Date: 20100119 18:52 Message: There are two issues: 1. Maxima does not know the general solution of integrate(cos(x)^y,x) in terms of a hypergeometric function 2F1 and Maxima does not know solutions of this integrals for y a rational number. A general solution might be: sin(x)*cos(x)^(y+1)*2F1(1/2, (y+1)/2; (y+3)/2; cos(x)^2) /(y+1)/sqrt(sin(x)^2) All these integrals return an unevaluated noun form. This is a missing feature of Maxima. I think it is not a bug. 2. The error message for one of the integrals is a known problem with the debian distribution of Maxima 5.17.1 which is compiled with GCL 2.6.7. It is not a problem of Maxima. The debian distrubtion does not work. Please try to get a working distribution, e.g. from sourceforge.net. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&group_id=4933 
From: SourceForge.net <noreply@so...>  20100120 21:20:38

Bugs item #2934291, was opened at 20100118 14:40 Message generated for change (Settings changed) made by crategus You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&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: None Priority: 5 Private: No Submitted By: Dmitry Kirzhanov (kirzhanov) Assigned to: Nobody/Anonymous (nobody) Summary: Maxima does not integrate a real power of sin/cos Initial Comment: I try to integrate a function cos(t)^0.5 and receive no definite result (the result is the same as output). If I try to integrate function cos(t)^delta I receive this error: Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Universal error handler called recursively (:ERROR NIL CONDITIONS::CLCSUNIVERSALERRORHANDLER "" "Couldn't protect") Maxima encountered a Lisp error: Error in CONDITIONS::CLCSUNIVERSALERRORHANDLER [or a callee]: Caught fatal error [memory may be damaged] Automatically continuing. To reenable the Lisp debugger set *debuggerhook* to nil. It seems that the antiderivative of cos(t)^delta can be calculated using hypergeometric function. Maxima version info: Maxima version: 5.17.1 Maxima build date: 14:9 7/13/2009 host type: i686pclinuxgnu lispimplementationtype: GNU Common Lisp (GCL) lispimplementationversion: GCL 2.6.7  >Comment By: Dieter Kaiser (crategus) Date: 20100120 22:20 Message: I had a look at functions.wolfram.com to get the integral of this bug report. This is a direct link http://functions.wolfram.com/01.07.21.1026.01. Closing this bug report. Dieter Kaiser  Comment By: Dmitry Kirzhanov (kirzhanov) Date: 20100120 12:39 Message: crategus, thank you for the explanation. Can you interpret this bug report as a feature request? BTW, would you be so kind to give a reference to any source (a handbook, i.e.) which explains how to deal with such integrals?  Comment By: Dieter Kaiser (crategus) Date: 20100119 16:52 Message: There are two issues: 1. Maxima does not know the general solution of integrate(cos(x)^y,x) in terms of a hypergeometric function 2F1 and Maxima does not know solutions of this integrals for y a rational number. A general solution might be: sin(x)*cos(x)^(y+1)*2F1(1/2, (y+1)/2; (y+3)/2; cos(x)^2) /(y+1)/sqrt(sin(x)^2) All these integrals return an unevaluated noun form. This is a missing feature of Maxima. I think it is not a bug. 2. The error message for one of the integrals is a known problem with the debian distribution of Maxima 5.17.1 which is compiled with GCL 2.6.7. It is not a problem of Maxima. The debian distrubtion does not work. Please try to get a working distribution, e.g. from sourceforge.net. Dieter Kaiser  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2934291&group_id=4933 