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AP Calculus BC

Unit 6: Integration and Accumulation of Change

17–20% of exam score

Riemann sums, the Fundamental Theorem of Calculus, substitution, and BC-only techniques: integration by parts, partial fractions and improper integrals.

∫u dv=uv−∫v du\int u\,dv = uv - \int v\,du

What this unit covers

  • Riemann sums and accumulation

  • Fundamental Theorem of Calculus

  • u-substitution

  • Integration by parts and partial fractions (BC)

  • Improper integrals (BC)