Noun
English Wikipedia has an article on:integration by partsWikipedia
integration by parts (countable and uncountable, plural integrations by parts)
(mathematical analysis) A method of integration directly related to the rule for differentiation of products; can be written as
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{\displaystyle \int u\ dv=uv-\int v\ du}
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If φ is a test function, we can use integration by parts to see that : where the last equality follows from the fact that φ has compact support, so is zero outside of a bounded set. Source: Internet
The gamma function can be computed to fixed precision for by applying integration by parts to Euler's integral. Source: Internet