[
  {
    "term": "integration",
    "definition": "Integration strategy begins with structure: simplify, split sums, identify reverse derivative patterns, and verify by differentiating the result. Exact and numerical answers should agree within expected precision."
  },
  {
    "term": "parts",
    "definition": "Integration by parts reverses the product rule and serves here as an optional Calculus II bridge. The choice of u should simplify when differentiated, while dv should be easy to integrate."
  },
  {
    "term": "riemann",
    "definition": "Riemann sums approximate accumulation by adding height-times-width contributions. The sample-point rule and partition determine the estimate; refinement generally improves resolution."
  }
]