Line integral
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A line integral of a vector function f along a line or curve segment C is the following (all three formulations are equivalent);
- <math>\int_\mathbf{C} \vec{f}(\vec{s}) \cdot d\vec{s}</math>
- <math>\int_\mathbf{C} f_1s_1 dx + f_2s_2 dy + f_3s_3 dz</math>
- <math>\int_\mathbf{C} \langle \vec{f}(\vec{s}), d\vec{s} \rangle</math>