Calculus

This Sum Is Secretly an Integral

Antiderivatives, the Fundamental Theorem of Calculus, and area under a curve.

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What to remember

  • Integration is antidifferentiation; families of antiderivatives differ by a constant.
  • The definite integral is signed area / accumulated change, defined via Riemann sums.
  • FTC: ∫ₐᵇ f = F(b) − F(a) where F′ = f. Rates accumulate to net change.
Read the lessonIntegration Fundamentals, with a checkpoint at the end.