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functions - Strange Integrate behavior (a bug!)


The following two calculations should give the same result. After all, integration is a linear operation.


enter image description here





I have pasted the code below in case you want to play with it.


Integrate[Integrate[v[x], x] - 
Integrate[Integrate[v[x], x] * u'[x], x]/u[x], x]

Integrate[Integrate[v[x], x], x] -
Integrate[Integrate[Integrate[v[x], x] * u'[x], x]/u[x], x]


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