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MathGroup Archive 1993

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simple integrals

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: simple integrals
  • From: withoff
  • Date: Mon, 12 Apr 93 11:40:07 CDT

Regarding Heino Falcke's comment about the slowness of certain simple
integrals, integrals like Integrate[ c z^-(1/2), dz] can and should
be made faster, even if c is very complicated.  In general, symbolic
functions like Solve and Integrate need to more about symbolic expressions
than just whether or not they are constant, and do a correspondingly
large amount of processing for large constants.  There is a tradeoff
between general algorithms that can handle constants no matter where
they appear, and fast special case code to handle situations in the
constants can be handled very crudely (knowing nothing more than that
they are constant).  Most common special cases like Integrate[ c z^-(1/2), dz]
have already been added, but apparently this one was forgotten.





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