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Symbolic integration of piecewise defined functions


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 betenoir.syr.edu (NeXT)
Dept of Mathematics        drebnord at suvm.syr.edu (ascii)
Syracuse University
Syracuse NY 13244-1150





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