Show whether or not, by bounding (from below of from bottom, depends of the appropriate choice) it, if the integral converges or not :

$\displaystyle \int_1^5 \frac{dx}{\sqrt{x^4-1}}$. I'm sure it converges, so I wanted to bound it from above but couldn't, due to the indetermination of the lower limit of the integral. Can you help me?