Function: math[Arclen] - inert form of math/arclen (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 returns an unevaluated integral determining the arc length of a function in one real.
In the second form, Arclen computes an unevaluated integral that determines the arc length of a space curve given as a list of three parametric functions (the x-, y-, and z-coordinates).
Use value or evalf to evaluate the resulting inert integrals.
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, arclen):
> assume(r, positive):
> 4*Arclen(sqrt(r^2-x^2), x=0 .. r) = 4*arclen(sqrt(r^2-x^2), x=0 .. r);
> inert := Arclen([t, t^2, 2/3*t^3], t=0 .. 3);
> value(inert);
> evalf(inert);
See Also:
math/arclen .
Version History:
Version 1.0 as of March 01, 1998