Calculus › Section P · Vector analysis › Topic P.2

Line integrals

An integral along a curve instead of an axis: one form weighs a wire, the other measures a force field's work along a path. The difference between them — orientation — is the thread the whole chapter pulls.

In this topic

  • Weighing a wire
  • Computing with a parametrisation
  • Worked example: a wire's mass
  • Line integrals of vector fields
  • Worked example: a swirl's work
  • Two kinds of line integral
  • A preview of path independence
  • Common mistakes to avoid
  • Key takeaways

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Standards: Beyond AP

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