Line and Path Integrals
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Line integral in field
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Line and Path Integrals
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Line integral in field
$$\displaystyle\int f(x,y)ds = \displaystlye\int_a^b f(h(t),g(t)) \sqrt{dx^2+dy^2}\,dt$$
Make sure to use parametrization. This is also the work done on a line integral by a field.