[
  {
    "term": "antiderivative",
    "definition": "An antiderivative reverses differentiation. Indefinite integrals represent families of functions and therefore require a constant of integration; initial conditions select one member."
  },
  {
    "term": "ftc",
    "definition": "The Fundamental Theorem of Calculus connects accumulation and instantaneous rate. Differentiating an accumulation function recovers the integrand, while evaluating an antiderivative computes net accumulation."
  },
  {
    "term": "substitution",
    "definition": "Substitution reverses the chain rule. A successful substitution matches an inner expression with its derivative factor and transforms limits when working with a definite integral."
  }
]