Integration by Parts

AP Calculus · Axiom Academy

The product rule in reverse — a powerful technique for BC students The Integration by Parts Formula Integration by Parts (BC Topic) This comes from reversing the product rule: . The key is choosing u and dv wisely. Use the LIATE priority for choosing u : Let u = x , . Then du = dx , . Let , dv = dx . Then , v = x . The goal is to make simpler than the original Sometimes you need to apply IBP twice (e.g., ) Tabular method speeds up repeated IBP applications

This is the written version of the interactive lesson above. See the full AP Calculus course.