Integration by Parts

Brian Knight and Roger Adams
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Brian Knight: Goldsmiths’ College
Roger Adams: Thames Polytechnic

Chapter 16 in Calculus I, 1975, pp 106-109 from Springer

Abstract: Abstract The integration by parts formula which we give below is the integral equivalent of Leibniz’ product rule of differentiation. For, if we integrate the formula: d d x ( u v ) = v d u d x + d v d x $$ \frac{d}{{dx}}\left( {uv} \right) = v\frac{{du}}{{dx}} + \frac{{dv}}{{dx}} $$ with respect to x, we obtain: u v = ∫ v d u d x d x + ∫ u d u d x d x $$ uv = \int {v\frac{{du}}{{dx}}dx} + \int {u\frac{{du}}{{dx}}dx} $$

Date: 1975
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DOI: 10.1007/978-1-4615-6594-9_16

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