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MathGroup Archive 1992

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Symbolic integration of piecewise defined functions

  • To: mathgroup at
  • Subject: Symbolic integration of piecewise defined functions
  • From: drebnord at (David A. Rebnord)
  • Date: Mon, 9 Mar 92 14:17:39 EST

I don't seem to be able to get Mathematica 2.0.2 to integrate  
symbolically functions which are defined piecewise.  A simplified  
example of what I'm trying to do is

Mathematica 2.0 for NeXT
Copyright 1988-91 Wolfram Research, Inc.
 -- NeXT graphics initialized -- 

In[1]:= f[x_] := x /; x <= 1

In[2]:= f[x_] := x^2 /; x >1

In[3]:= Integrate[f[x],x]

Out[3]= Integrate[f[x], x]

In[4]:= Integrate[f[x],{x,0,1}]

Out[4]= Integrate[f[x], {x, 0, 1}]

I've also tried defining f[x] using Switch[] but also with no  
success. Answers and/or suggestions will be most welcome.

Dave Rebnord            drebnord at (NeXT)
Dept of Mathematics        drebnord at (ascii)
Syracuse University
Syracuse NY 13244-1150

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