Calculating Arc Length for Given Equation with Integration Method

[courtrigrad]

If y = \frac{x^{3}}{6} + \frac{1}{2x}\ and \frac{1}{2}\leq x\leq 1. Find the arc length.

So \frac{dy}{dx} = \frac{x^{2}}{2} - \frac{1}{2x^{2}}. So I got \frac{1}{2} \int^{1}_{\frac{1}{2}} \sqrt{2+x^{4} + x^{-4}} dx. How would you evaulate this?

Thanks

 

[courtrigrad]

nvm got it. just a perfect square