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intelligent Integrate


 Hi MathGroup,

 The input

 Integrate[ f'[x] g[x] + f[x] g'[x],x]
 gives f[x] g[x]. I think by a rule associated with Integrate.
 But
 Integrate[f'[x] g[x],x] + Integrate[f[x] g'[x],x]
 also produces
 f[x] g[x]. This is quite nice, but I do not understand how this
 happens by looking at the standard Mma evaluation procedure.
 Is there a hidden rule for Integrate over Plus?

 Thanks for an answer,

 Michael Trott

 trott at physik.tu-ilmenau.de







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