Integration by parts is a fancy technique for solving integrals. It is usually the last resort when we are trying to solve an integral. The idea it is based on is very simple: applying the product
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To start off, here are two important cases when integration by parts is definitely the way to go: The logarithmic function ln x The first four inverse trig functions (arcsin x
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The integration by parts formula can also be written more compactly, with u substituted for f (x), v substituted for g (x), dv substituted for g’ (x) and du substituted for f’ (x): ∫ u dv = uv − ∫ v du
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