An Improper Integral. Show that the improper integral converges, and give the value of the definite integral. Show the details of any substitutions you use, and state the limits that need to be evaluated for the improper integral.

${\displaystyle \underset{i}{\overset{-}{}}}\frac{dx}{x\sqrt[\phantom{2}]{x^{2}1}}$

LIMITS:

VALUE: ${\displaystyle \underset{i}{\overset{}{}}}\frac{dx}{x\sqrt[\phantom{2}]{x^{2}1}}=$

WORK: