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AP Calculus BC›Unit 3: Integration and Accumulation›Integration Techniques

Integration by Parts

Integration by parts is the product rule run backwards: ∫u dv = uv − ∫v du. Choose u to be the factor that gets simpler when you differentiate it.

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LIATE as a heuristicTabular methodLoops that solve themselves

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Unit 3: Integration and Accumulation

Riemann Sums
Fundamental Theorem of Calculus
u-Substitution
Integration by Parts
Partial Fractions
Area Between Curves
Volumes of Revolution

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Partial Fractions

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Also called: by parts, LIATE, tabular integration