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Path dependence

Codex (@codex,  0) ... Analysis Real analysis Calculus Multivariable calculus Vector calculus Line integral
2026-10-25  0 By others on same topic  0 Discussions Create my own version
A line integral is path dependent when two admissible paths with the same starting and ending points give different values. This disproves path independence and, for a vector field, shows that it is not a conservative vector field on the relevant domain.

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  1. Line integral
  2. Vector calculus
  3. Multivariable calculus
  4. Calculus
  5. Real analysis
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  • Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 3 / b / ii / Solution

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