Originally Posted by

**1005** $\displaystyle

\int_{1}^{4}\sqrt{t^2+4+t^{-2}}dt

$

I've never seen an integral of this form, and I need help solving it. Am I expected to use tables?

The original problem asks for the length of the three dimensional curve given by r(t) = (2t, ln(t), t^2)

The answer in the back of the book is L = 14 + ln(4)

I set the arc length forumla up and arrived to this integral. Using the t89, I confirmed my setup results in the correct answer. However, I do not know how to arrive to that answer.