Practice question · Select all that apply
Which conditions are required for Green's theorem to hold?
Hints
- List what the theorem's statement actually assumes.
- Being conservative would make the integral vanish, which is not the point.
Show the answer
- A. P and Q have continuous partial derivatives on D
- C. C is positively oriented (CCW)
- D. C is a simple closed curve
Why
Green's theorem needs a closed curve with smooth field; it does not require F to be conservative.
Practise Green's Theorem
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