The arc length of a curve
The arc length s of a curve y=f(x) contained between two points with abscissas x=a and x=b is . If a curve is represented by equations in parametric form and then the arc length s of the curve is , where and are values of the parameter that correspond to the extremities of the arc.
If a curve is defined by the equation in polar coordinates, then the arc length s is , where and are the values of the polar angle at the extreme points of the arc.
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