Function: math[arclen] - determines the arc length of an explicit or parametric function

Calling Sequence:

arclen(f, x=a .. b);
arclen(p, t=u .. v);

Parameters:

f - an expression in x
x - a name
p -
a list of three parametric functions
t -
a name (parameter)
a, b, u, v - range borders

Description:

In the first form, arclen determines the arc length of a function in one real.

In the second form, arclen computes the arc length of a space curve given as a list of three parametric functions (the x-, y-, and z-coordinates).

The inert form of math/arclen is math/Arclen .

This function is part of the math package, and so can be used only after performing the command with(math) or with(math, arclen).

Examples:

> with(math, arclen):

> assume(r, positive):

> 4*arclen(sqrt(r^2-x^2), x=0 .. r);

[Maple Math]

> arclen([t, t^2, 2/3*t^3], t=0 .. 3);

[Maple Math]

See Also:

math/Arclen .

Version History:

Version 1.0 as of December 01, 1997