No new ones.
If a curve C is described by the parametric equations x=f(t), y=g(t),
, where 
and 
are continuous on
and C is traversed exactly once as t increases from
to 
, then the length of C is
If a curve C is described by the parametric equations x=f(t), y=g(t),
, where and are continuous on
, 
, then the surface area of the surface
obtained by rotating C about the x-axis is given by S, where
This is just a change of variables problem!
Yes, that's right: this is just about change of variable. We start with our old
formulas: for example, if f' is continuous on [a,b], then the length of the
curve y=f(x), 
, is
Now, suppose that x and y are given parametrically, as x=f(t) and y=g(t). Then
where 
and 
. (Note: since 
must
exist, x is travelling from left to right or from right to left, and doesn't
stop; that is, 
).