Surface/Line integral keywords + definitions

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4 Terms

1
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Line integral over scalar curve.

f times magnitude of parameterized r’(t).

Keyword: Total mass, wire/rod, length (integral is of 1)

2
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Line integral over vector field curve.

F dot product w/ parameterized r’(t).

Keyword: Work done by force field.

3
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Surface integral over scalar surface.

f times magnitude parameterized |ru x rv|

Keywords: Surface total mass. Area of a surface (f = 1, left w/ |ru x rv|)

4
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Surface integral over vector field surface.

F dot product w/ (ru x rv)

Keywords: Flux