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
where
If a curve is defined by the equation
where
|
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
where
If a curve is defined by the equation
where
|
.
and 
then the arc length s of the curve is
,
and 
are values of the parameter that correspond to the extremities of the arc.
in polar coordinates, then the arc length s is
,
and 
are the values of the polar angle at the extreme points of the arc.
