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);
> arclen([t, t^2, 2/3*t^3], t=0 .. 3);
See Also:
math/Arclen .
Version History:
Version 1.0 as of December 01, 1997