Practice question · Fill in the blanks
Complete the following passage by choosing the correct terms from the word bank.
The divergence theorem states: ∬_S F = ∭_V ______ dV, where the blank is the ______ of F.
Word bank: ∇ · divergence · ∇ · gradient
Hints
- The theorem trades a boundary integral for one over the interior.
- The operator that appears measures how much the field spreads out.
Show the answer
The divergence theorem states: ∬_S F = ∭_V ∇ dV, where the blank is the divergence of F.
Why
The flux through a closed surface equals the volume integral of .
Practise The Divergence Theorem
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