4. The plane curve p(t) = (2t², 1+ 2t) traces out a parabola. Compute the exact length of the portion of this parabola that lies between the points (2,-1) and (8,5), shown on the following page.
Hint. It might help to know
$\int \sqrt{u^2 + 1} du = \frac{1}{2} (u \sqrt{u^2 + 1} + ln(u + \sqrt{u^2 + 1})) + C.$