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→Computation
==Computation==
==Computation==
[[Image:Arc length.jpg|right|197px|thumb|As the length goes to zero, the Pythagorean theorem provides a more and more precise result for the length element ''dL''.]]
As before, we're not going to be using the Riemann sum definition to compute line integrals. Let <math>x=x(t),y=y(t) </math> be a parametric description of <math>C </math>. This allows us to compute the length element, ''dL'':
As before, we're not going to be using the Riemann sum definition to compute line integrals. Let <math>x=x(t),y=y(t) </math> be a parametric description of <math>C </math>. This allows us to compute the length element, ''dL'':