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.

 Use  

  > evalf(Int(        ));

 Note the capital  I  in the Int command (otherwise enter stuff just like for int).