Calculus · Calculus
The Fundamental Theorem of Calculus
Why integrals and derivatives are inverses: area as accumulation, Riemann sums, Part 1 (the derivative of an accumulation function is the integrand) and Part 2 (evaluate with antiderivatives), with distance-from-velocity examples.
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Key idea
Prereqs: Derivatives; Integrals. Next: Series & Taylor approximations. Sources: 3Blue1Brown, *Essence of Calculus* ch. 8; Stewart, *Calculus* §5.3; MIT OCW 18.01.Next: 1. Accumulation