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[Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]


From: kratt6
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
Date: Sat, 20 Aug 2005 11:05:40 -0500

Changes 
http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
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I browsed the web a little more and came to the conclusion that the Risch 
algorithm only deals with elementary functions whose integral is elementary, 
too. "Clearly" (looking at maxima's output or browsing the web), $sin(x^2)$ 
does not have an elementary antiderivative. Hence, I suspect that it should be 
treated just as $e^{-x^2}$, by the 'PatternMatchIntegration' package. This 
would not be too difficult, probably.

Martin
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