
By the fundamental theorem of calculus,

Now the arc length over an arbitrary interval

is

But before we compute the integral, first we need to make sure the integrand exists over it.

is undefined if

, so we assume

and for convenience that

. Then
333333.333333333333333333
:) lol
I think the answer is 50" because if the table is 42" and it needs to hang over 8" then it would have to be 50"