Do the discovery project on page 554 of your text (Arc Length Contest). You are not limited to the resources of the text however.
Hint for Lab II:
Maple will often freeze when trying to do an arclength integral because, as I think I mentioned in class, arclength is often just ugly.
However, you can get Maple to use numerical methods to get a good estimate.
> evalf(Int( ));
Note the capital I in the Int command (otherwise enter stuff just like for int).