I have some problems understanding the intuition behind the integration by parts technique. I don't quite see why you solve for [itex]\int u(x)v\prime (x)[/itex], instead of one of the other parts, what makes it easier to solve for that particular term?(adsbygoogle = window.adsbygoogle || []).push({});

And in general when working with integration techniques, does an expression like du have any mathematical meaning by itself or are those substitutions just used to make integration easier?

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# Intuition behind Integration by parts

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