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## [Maxima-bugs] [ maxima-Bugs-3317072 ] Incorrect integral of x^(.5)*%e^(-x-x^2)

 [Maxima-bugs] [ maxima-Bugs-3317072 ] Incorrect integral of x^(.5)*%e^(-x-x^2) From: SourceForge.net - 2011-06-15 23:23:54 ```Bugs item #3317072, was opened at 2011-06-15 23:23 Message generated for change (Tracker Item Submitted) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3317072&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: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: Incorrect integral of x^(.5)*%e^(-x-x^2) Initial Comment: This is based on Sage bug report at http://trac.sagemath.org/sage_trac/ticket/11493. (%i16) integrate(x^(1/2)*%e^(-x-x^2),x,0,inf); inf / 2 [ - x - x (%o16) I sqrt(x) %e dx ] / 0 (%i18) integrate(x^(.5)*%e^(-x-x^2),x,0,inf); rat: replaced 0.5 by 1/2 = 0.5 sqrt(%pi) (%o18) --------- 2 The second one is quite wrong, as quad_qags shows: (%i28) quad_qags(x^(1/2)*%e^(-x-x^2),x,0,1000); (%o28) [.3201570903601473, 1.5628860428051894e-9, 609, 0] (%i29) quad_qags(x^(1/2)*%e^(-x-x^2),x,0,10000); ***MESSAGE FROM ROUTINE DQAGS IN LIBRARY SLATEC. ***INFORMATIVE MESSAGE, PROG CONTINUES, TRACEBACK REQUESTED * ABNORMAL RETURN * ERROR NUMBER = 4 * ***END OF MESSAGE (%o29) [.3201753870288189, .03110853789056672, 7707, 4] Separately, what's up with that error message? ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3317072&group_id=4933 ```

 [Maxima-bugs] [ maxima-Bugs-3317072 ] Incorrect integral of x^(.5)*%e^(-x-x^2) From: SourceForge.net - 2011-06-15 23:23:54 ```Bugs item #3317072, was opened at 2011-06-15 23:23 Message generated for change (Tracker Item Submitted) made by You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3317072&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: https://www.google.com/accounts () Assigned to: Nobody/Anonymous (nobody) Summary: Incorrect integral of x^(.5)*%e^(-x-x^2) Initial Comment: This is based on Sage bug report at http://trac.sagemath.org/sage_trac/ticket/11493. (%i16) integrate(x^(1/2)*%e^(-x-x^2),x,0,inf); inf / 2 [ - x - x (%o16) I sqrt(x) %e dx ] / 0 (%i18) integrate(x^(.5)*%e^(-x-x^2),x,0,inf); rat: replaced 0.5 by 1/2 = 0.5 sqrt(%pi) (%o18) --------- 2 The second one is quite wrong, as quad_qags shows: (%i28) quad_qags(x^(1/2)*%e^(-x-x^2),x,0,1000); (%o28) [.3201570903601473, 1.5628860428051894e-9, 609, 0] (%i29) quad_qags(x^(1/2)*%e^(-x-x^2),x,0,10000); ***MESSAGE FROM ROUTINE DQAGS IN LIBRARY SLATEC. ***INFORMATIVE MESSAGE, PROG CONTINUES, TRACEBACK REQUESTED * ABNORMAL RETURN * ERROR NUMBER = 4 * ***END OF MESSAGE (%o29) [.3201753870288189, .03110853789056672, 7707, 4] Separately, what's up with that error message? ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3317072&group_id=4933 ```