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- Thread starter Bashyboy
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HallsofIvy

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d(uv)= udv+ vdu. We can write that as udv= d(uv)- vdu and integrate both sides:

[itex]\int udv= \int d(uv)- \int vdu[/itex]. Of course, [itex]\int d(uv)= uv[/itex].

As for "does dv have to always include dx?", yes, of course. "dv" is a

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As for "does dv have to always include dx?", yes, of course. "dv" is adifferentialand you cannot have an "ordinary" function equal to a differential. A differential can only be equal to another differential.

Is there a reason for this? Or have mathematicians defined this to be true?

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