13.3 Arc Length and Curvature There are several approaches to finding the length of a portion of the graph of a function. In section 8.1 arc length is found using integrals and derivatives. From 8.1 (page 542), If 'fis continuous on [a,b], then the length of the curve is (),,yfxaxb=≤≤21'baLfx=+∫dxβ≤In section 10.3, a formula for arc length is given for the parametric equations , but there are some restrictions (see page 656). ,,xftygttα== ≤22dxdyLddtdt∫tArc length can also be found for a polar curve, 22badrLrdθ∫d(see page 673 for
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