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From: SourceForge.net <noreply@so...>  20060430 11:55:46

Bugs item #1479149, was opened at 20060429 21:13 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  >Comment By: Barton Willis (willisbl) Date: 20060430 06:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060430 02:13:58

Bugs item #1479149, was opened at 20060429 19:13 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060430 11:55:46

Bugs item #1479149, was opened at 20060429 21:13 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  >Comment By: Barton Willis (willisbl) Date: 20060430 06:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060501 13:19:59

Bugs item #1479149, was opened at 20060429 19:13 Message generated for change (Comment added) made by nobody You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  Comment By: Nobody/Anonymous (nobody) Date: 20060501 06:19 Message: Logged In: NO Yes, trigsimp was help me, it gives simpler, but not simplest formula. For example, k=2, f(x)=sin(x)^2 integrate(2*x/(sin(x)^2,x) with trigsimp gives a following formula: [{(cos(2x)1)*log(2*cos(x)+2)}+{(cos(2*x)1)*log(22*cos(x))}+2*x*sin(2*x)]/(cos(2*x)1) Simplest result is: 2*(log(sin(x)/2)x*ctg(x)) Or, maxima don't gives (don't can) a simplest result? P.S. By the way, how about C? integrate(x,x) = x^2/2 + C. doble integrate gives a x^3/6 + C*x + c(1)  Comment By: Barton Willis (willisbl) Date: 20060430 04:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060501 16:54:51

Bugs item #1479149, was opened at 20060429 22:13 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  >Comment By: Raymond Toy (rtoy) Date: 20060501 12:54 Message: Logged In: YES user_id=28849 Judicious use of logcontract, trigexpand and trigsimp will produce log(44*cos(x)^2)2*x*cos(x)/sin(x). That's pretty comparable to axiom's result. Also, integrate never returns a gratuitious constant of integration, just like tables of integrals never do If you want it, you have to add it yourself.  Comment By: Nobody/Anonymous (nobody) Date: 20060501 09:19 Message: Logged In: NO Yes, trigsimp was help me, it gives simpler, but not simplest formula. For example, k=2, f(x)=sin(x)^2 integrate(2*x/(sin(x)^2,x) with trigsimp gives a following formula: [{(cos(2x)1)*log(2*cos(x)+2)}+{(cos(2*x)1)*log(22*cos(x))}+2*x*sin(2*x)]/(cos(2*x)1) Simplest result is: 2*(log(sin(x)/2)x*ctg(x)) Or, maxima don't gives (don't can) a simplest result? P.S. By the way, how about C? integrate(x,x) = x^2/2 + C. doble integrate gives a x^3/6 + C*x + c(1)  Comment By: Barton Willis (willisbl) Date: 20060430 07:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060501 17:04:47

Bugs item #1479149, was opened at 20060429 21:13 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  >Comment By: Barton Willis (willisbl) Date: 20060501 12:04 Message: Logged In: YES user_id=895922 Maxima uses a constant of integration when it thinks one is really needed: (%i12) integrate(x=1,x); (%o12) x^2/2=x+integrationconstant1 This is a bug listfor a better place to ask questions about how to use Maxima see: http://maxima.sourceforge.net/maximalist.html Barton  Comment By: Raymond Toy (rtoy) Date: 20060501 11:54 Message: Logged In: YES user_id=28849 Judicious use of logcontract, trigexpand and trigsimp will produce log(44*cos(x)^2)2*x*cos(x)/sin(x). That's pretty comparable to axiom's result. Also, integrate never returns a gratuitious constant of integration, just like tables of integrals never do If you want it, you have to add it yourself.  Comment By: Nobody/Anonymous (nobody) Date: 20060501 08:19 Message: Logged In: NO Yes, trigsimp was help me, it gives simpler, but not simplest formula. For example, k=2, f(x)=sin(x)^2 integrate(2*x/(sin(x)^2,x) with trigsimp gives a following formula: [{(cos(2x)1)*log(2*cos(x)+2)}+{(cos(2*x)1)*log(22*cos(x))}+2*x*sin(2*x)]/(cos(2*x)1) Simplest result is: 2*(log(sin(x)/2)x*ctg(x)) Or, maxima don't gives (don't can) a simplest result? P.S. By the way, how about C? integrate(x,x) = x^2/2 + C. doble integrate gives a x^3/6 + C*x + c(1)  Comment By: Barton Willis (willisbl) Date: 20060430 06:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
From: SourceForge.net <noreply@so...>  20060513 21:27:39

Bugs item #1479149, was opened at 20060429 21:13 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&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 Submitted By: Nobody/Anonymous (nobody) Assigned to: Nobody/Anonymous (nobody) Summary: Integration with trigonometric function and following diff Initial Comment: integrate(k*x/f(x),x), knumber, f(x)thrigonometric function  sin(x)^2, cos(x)^2, Sin(x)^3 etc. gives a very poor result. axiom gives a better and short result. following diff(%,x) gives a non simply formula. So, maxima has a problem with a trigonometric function ;)  >Comment By: Barton Willis (willisbl) Date: 20060513 16:27 Message: Logged In: YES user_id=895922 No real bug hereI'm closing the report. Barton  Comment By: Barton Willis (willisbl) Date: 20060501 12:04 Message: Logged In: YES user_id=895922 Maxima uses a constant of integration when it thinks one is really needed: (%i12) integrate(x=1,x); (%o12) x^2/2=x+integrationconstant1 This is a bug listfor a better place to ask questions about how to use Maxima see: http://maxima.sourceforge.net/maximalist.html Barton  Comment By: Raymond Toy (rtoy) Date: 20060501 11:54 Message: Logged In: YES user_id=28849 Judicious use of logcontract, trigexpand and trigsimp will produce log(44*cos(x)^2)2*x*cos(x)/sin(x). That's pretty comparable to axiom's result. Also, integrate never returns a gratuitious constant of integration, just like tables of integrals never do If you want it, you have to add it yourself.  Comment By: Nobody/Anonymous (nobody) Date: 20060501 08:19 Message: Logged In: NO Yes, trigsimp was help me, it gives simpler, but not simplest formula. For example, k=2, f(x)=sin(x)^2 integrate(2*x/(sin(x)^2,x) with trigsimp gives a following formula: [{(cos(2x)1)*log(2*cos(x)+2)}+{(cos(2*x)1)*log(22*cos(x))}+2*x*sin(2*x)]/(cos(2*x)1) Simplest result is: 2*(log(sin(x)/2)x*ctg(x)) Or, maxima don't gives (don't can) a simplest result? P.S. By the way, how about C? integrate(x,x) = x^2/2 + C. doble integrate gives a x^3/6 + C*x + c(1)  Comment By: Barton Willis (willisbl) Date: 20060430 06:55 Message: Logged In: YES user_id=895922 Did Maxima give an incorrect result for any of these integrals? Maxima does gives a lengthy formula for integrate(x / sin(x)^2,x), but it seems to be correct: (%i1) integrate(x / sin(x)^2,x)$ (%i2) diff(%,x)  x/sin(x)^2$ (%i3) exponentialize(%)$ (%i4) ratsimp(%); (%o4) 0 In addition to exponentialize and ratsimp, Maxima has functions trigsimp, trigreduce, and trigexpand. Did you try using these functions to convert the antiderivatives into the form you were looking for? Barton  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1479149&group_id=4933 
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