Integration by Parts/Also presented as

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Integration by Parts: Also presented as

Integration by Parts is often seen presented in this sort of form:

$\ds \int u \frac {\d v} {\d x} \rd x = u v - \int v \frac {\d u} {\d x} \rd x$


$\ds \int u \rd v = u v - \int v \rd u$

where it is understood that $u, v$ are functions of the independent variable.